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252420492 = 223234321269
BaseRepresentation
bin11110000101110…
…10000110001100
3122120222021211010
433002322012030
51004104423432
641014125220
76153352542
oct1702720614
9576867733
10252420492
1111a537285
1270650810
13403ac34c
1425749d92
15172613cc
hexf0ba18c

252420492 has 48 divisors (see below), whose sum is σ = 628911360. Its totient is φ = 78606528.

The previous prime is 252420473. The next prime is 252420523. The reversal of 252420492 is 294024252.

It is a super-2 number, since 2×2524204922 = 127432209563044128, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1234 + ... + 22502.

It is an arithmetic number, because the mean of its divisors is an integer number (13102320).

Almost surely, 2252420492 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 252420492, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (314455680).

252420492 is an abundant number, since it is smaller than the sum of its proper divisors (376490868).

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

252420492 is a wasteful number, since it uses less digits than its factorization.

252420492 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21342 (or 21340 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

The square root of 252420492 is about 15887.7465991877. The cubic root of 252420492 is about 631.9870844714.

The spelling of 252420492 in words is "two hundred fifty-two million, four hundred twenty thousand, four hundred ninety-two".

Divisors: 1 2 3 4 6 12 23 43 46 69 86 92 129 138 172 258 276 516 989 1978 2967 3956 5934 11868 21269 42538 63807 85076 127614 255228 489187 914567 978374 1467561 1829134 1956748 2743701 2935122 3658268 5487402 5870244 10974804 21035041 42070082 63105123 84140164 126210246 252420492