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5325503300 = 22521317733301
BaseRepresentation
bin1001111010110110…
…01011101101000100
3111202010212121010222
410331123023231010
541401312101200
62240240003512
7245654013455
oct47533135504
914663777128
105325503300
1122931204a7
121047600598
1366b4189b0
143873d312c
15212801d85
hex13d6cbb44

5325503300 has 144 divisors (see below), whose sum is σ = 13361926032. Its totient is φ = 1824768000.

The previous prime is 5325503297. The next prime is 5325503303. The reversal of 5325503300 is 33055235.

It is an interprime number because it is at equal distance from previous prime (5325503297) and next prime (5325503303).

It can be written as a sum of positive squares in 24 ways, for example, as 4219541764 + 1105961536 = 64958^2 + 33256^2 .

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a self number, because there is not a number n which added to its sum of digits gives 5325503300.

It is not an unprimeable number, because it can be changed into a prime (5325503303) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1611650 + ... + 1614950.

It is an arithmetic number, because the mean of its divisors is an integer number (92791153).

Almost surely, 25325503300 is an apocalyptic number.

5325503300 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5325503300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6680963016).

5325503300 is an abundant number, since it is smaller than the sum of its proper divisors (8036422732).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

5325503300 is a wasteful number, since it uses less digits than its factorization.

5325503300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3418 (or 3411 counting only the distinct ones).

The product of its (nonzero) digits is 6750, while the sum is 26.

The square root of 5325503300 is about 72976.0460699263. The cubic root of 5325503300 is about 1746.3054901838.

Adding to 5325503300 its reverse (33055235), we get a palindrome (5358558535).

The spelling of 5325503300 in words is "five billion, three hundred twenty-five million, five hundred three thousand, three hundred".

Divisors: 1 2 4 5 10 13 17 20 25 26 34 50 52 65 68 73 85 100 130 146 170 221 260 292 325 340 365 425 442 650 730 850 884 949 1105 1241 1300 1460 1700 1825 1898 2210 2482 3301 3650 3796 4420 4745 4964 5525 6205 6602 7300 9490 11050 12410 13204 16133 16505 18980 22100 23725 24820 31025 32266 33010 42913 47450 56117 62050 64532 66020 80665 82525 85826 94900 112234 124100 161330 165050 171652 214565 224468 240973 280585 322660 330100 403325 429130 481946 561170 729521 806650 858260 963892 1072825 1122340 1204865 1402925 1459042 1613300 2145650 2409730 2805850 2918084 3132649 3647605 4096541 4291300 4819460 5611700 6024325 6265298 7295210 8193082 12048650 12530596 14590420 15663245 16386164 18238025 20482705 24097300 31326490 36476050 40965410 53255033 62652980 72952100 78316225 81930820 102413525 106510066 156632450 204827050 213020132 266275165 313264900 409654100 532550330 1065100660 1331375825 2662751650 5325503300