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252103152 = 24374317449
BaseRepresentation
bin11110000011011…
…00100111110000
3122120101011111210
433001230213300
51004014300102
641003240120
76150561420
oct1701544760
9576334453
10252103152
1111a33a914
1270519040
13402caa82
14256a6480
15171ec36c
hexf06c9f0

252103152 has 80 divisors (see below), whose sum is σ = 761657600. Its totient is φ = 70350336.

The previous prime is 252103147. The next prime is 252103169. The reversal of 252103152 is 251301252.

252103152 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5724 + ... + 23172.

It is an arithmetic number, because the mean of its divisors is an integer number (9520720).

Almost surely, 2252103152 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 252103152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (380828800).

252103152 is an abundant number, since it is smaller than the sum of its proper divisors (509554448).

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

252103152 is a wasteful number, since it uses less digits than its factorization.

252103152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17510 (or 17504 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 21.

The square root of 252103152 is about 15877.7565165863. The cubic root of 252103152 is about 631.7221312267.

The spelling of 252103152 in words is "two hundred fifty-two million, one hundred three thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 43 48 56 84 86 112 129 168 172 258 301 336 344 516 602 688 903 1032 1204 1806 2064 2408 3612 4816 7224 14448 17449 34898 52347 69796 104694 122143 139592 209388 244286 279184 366429 418776 488572 732858 750307 837552 977144 1465716 1500614 1954288 2250921 2931432 3001228 4501842 5252149 5862864 6002456 9003684 10504298 12004912 15756447 18007368 21008596 31512894 36014736 42017192 63025788 84034384 126051576 252103152