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5323332400 = 2452173125253
BaseRepresentation
bin1001111010100101…
…11001101100110000
3111201222210022020021
410331102321230300
541400233114100
62240121253224
7245626402351
oct47522715460
914658708207
105323332400
112291978471
121046934214
1366ab38839
14386dc9d28
15212523a1a
hex13d4b9b30

5323332400 has 120 divisors (see below), whose sum is σ = 13978998144. Its totient is φ = 1939353600.

The previous prime is 5323332389. The next prime is 5323332409. The reversal of 5323332400 is 42333235.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (5323332409) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 198174 + ... + 223426.

Almost surely, 25323332400 is an apocalyptic number.

5323332400 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 5323332400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6989499072).

5323332400 is an abundant number, since it is smaller than the sum of its proper divisors (8655665744).

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

5323332400 is a wasteful number, since it uses less digits than its factorization.

5323332400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25319 (or 25308 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 25.

The square root of 5323332400 is about 72961.1704949969. The cubic root of 5323332400 is about 1746.0681686498.

Adding to 5323332400 its reverse (42333235), we get a palindrome (5365665635).

The spelling of 5323332400 in words is "five billion, three hundred twenty-three million, three hundred thirty-two thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 17 20 25 31 34 40 50 62 68 80 85 100 124 136 155 170 200 248 272 310 340 400 425 496 527 620 680 775 850 1054 1240 1360 1550 1700 2108 2480 2635 3100 3400 4216 5270 6200 6800 8432 10540 12400 13175 21080 25253 26350 42160 50506 52700 101012 105400 126265 202024 210800 252530 404048 429301 505060 631325 782843 858602 1010120 1262650 1565686 1717204 2020240 2146505 2525300 3131372 3434408 3914215 4293010 5050600 6262744 6868816 7828430 8586020 10101200 10732525 12525488 13308331 15656860 17172040 19571075 21465050 26616662 31313720 34344080 39142150 42930100 53233324 62627440 66541655 78284300 85860200 106466648 133083310 156568600 171720400 212933296 266166620 313137200 332708275 532333240 665416550 1064666480 1330833100 2661666200 5323332400