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5024202400 = 255271098231
BaseRepresentation
bin1001010110111011…
…10011111010100000
3110222010220221000101
410223131303322200
540242143434100
62150314032144
7235335005260
oct45335637240
913863827011
105024202400
112149038698
12b82718654
13620b83a39
143593a17a0
151e613786a
hex12b773ea0

5024202400 has 144 divisors (see below), whose sum is σ = 14147844480. Its totient is φ = 1706572800.

The previous prime is 5024202343. The next prime is 5024202401. The reversal of 5024202400 is 42024205.

It is not an unprimeable number, because it can be changed into a prime (5024202401) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 606285 + ... + 614515.

It is an arithmetic number, because the mean of its divisors is an integer number (98248920).

Almost surely, 25024202400 is an apocalyptic number.

5024202400 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 5024202400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7073922240).

5024202400 is an abundant number, since it is smaller than the sum of its proper divisors (9123642080).

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

5024202400 is a wasteful number, since it uses less digits than its factorization.

5024202400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8367 (or 8354 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 19.

The square root of 5024202400 is about 70881.6083338972. The cubic root of 5024202400 is about 1712.7305417154.

Adding to 5024202400 its reverse (42024205), we get a palindrome (5066226605).

The spelling of 5024202400 in words is "five billion, twenty-four million, two hundred two thousand, four hundred".

Divisors: 1 2 4 5 7 8 10 14 16 20 25 28 32 35 40 50 56 70 80 100 109 112 140 160 175 200 218 224 280 350 400 436 545 560 700 763 800 872 1090 1120 1400 1526 1744 2180 2725 2800 3052 3488 3815 4360 5450 5600 6104 7630 8231 8720 10900 12208 15260 16462 17440 19075 21800 24416 30520 32924 38150 41155 43600 57617 61040 65848 76300 82310 87200 115234 122080 131696 152600 164620 205775 230468 263392 288085 305200 329240 411550 460936 576170 610400 658480 823100 897179 921872 1152340 1316960 1440425 1646200 1794358 1843744 2304680 2880850 3292400 3588716 4485895 4609360 5761700 6280253 6584800 7177432 8971790 9218720 11523400 12560506 14354864 17943580 22429475 23046800 25121012 28709728 31401265 35887160 44858950 46093600 50242024 62802530 71774320 89717900 100484048 125605060 143548640 157006325 179435800 200968096 251210120 314012650 358871600 502420240 628025300 717743200 1004840480 1256050600 2512101200 5024202400