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252194982 = 231323171113
BaseRepresentation
bin11110000100000…
…11000010100110
3122120112211110220
433002003002212
51004030214412
641005225210
76151423224
oct1702030246
9576484426
10252194982
1111a3a2906
1270562206
1340330800
14256cbb14
151721968c
hexf0830a6

252194982 has 96 divisors (see below), whose sum is σ = 576792576. Its totient is φ = 73382400.

The previous prime is 252194963. The next prime is 252194989. The reversal of 252194982 is 289491252.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (252194989) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2231758 + ... + 2231870.

It is an arithmetic number, because the mean of its divisors is an integer number (6008256).

Almost surely, 2252194982 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 252194982, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (288396288).

252194982 is an abundant number, since it is smaller than the sum of its proper divisors (324597594).

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

252194982 is a wasteful number, since it uses less digits than its factorization.

252194982 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 246 (or 233 counting only the distinct ones).

The product of its digits is 103680, while the sum is 42.

The square root of 252194982 is about 15880.6480346364. The cubic root of 252194982 is about 631.7988247027.

The spelling of 252194982 in words is "two hundred fifty-two million, one hundred ninety-four thousand, nine hundred eighty-two".

Divisors: 1 2 3 6 13 26 31 39 62 71 78 93 113 142 169 186 213 226 338 339 403 426 507 678 806 923 1014 1209 1469 1846 2201 2418 2769 2938 3503 4402 4407 5239 5538 6603 7006 8023 8814 10478 10509 11999 13206 15717 16046 19097 21018 23998 24069 28613 31434 35997 38194 45539 48138 57226 57291 71994 85839 91078 104299 114582 136617 171678 208598 248713 273234 312897 371969 497426 592007 625794 743938 746139 1115907 1184014 1355887 1492278 1776021 2231814 2711774 3233269 3552042 4067661 6466538 8135322 9699807 19399614 42032497 84064994 126097491 252194982