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252514328 = 23111729929
BaseRepresentation
bin11110000110100…
…01000000011000
3122121011001112112
433003101000120
51004120424303
641020131452
76154223243
oct1703210030
9577131475
10252514328
1111a5a0830
1270696b88
1340412c81
142577225a
151727e0d8
hexf0d1018

252514328 has 48 divisors (see below), whose sum is σ = 548731800. Its totient is φ = 108016640.

The previous prime is 252514321. The next prime is 252514349. The reversal of 252514328 is 823415252.

It is a junction number, because it is equal to n+sod(n) for n = 252514294 and 252514303.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (252514321) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 20468 + ... + 30396.

Almost surely, 2252514328 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 252514328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (274365900).

252514328 is an abundant number, since it is smaller than the sum of its proper divisors (296217472).

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

252514328 is a wasteful number, since it uses less digits than its factorization.

252514328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9980 (or 9959 counting only the distinct ones).

The product of its digits is 19200, while the sum is 32.

The square root of 252514328 is about 15890.6994182132. The cubic root of 252514328 is about 632.0653874023.

The spelling of 252514328 in words is "two hundred fifty-two million, five hundred fourteen thousand, three hundred twenty-eight".

Divisors: 1 2 4 8 11 17 22 34 44 68 88 136 187 289 374 578 748 1156 1496 2312 3179 6358 9929 12716 19858 25432 39716 79432 109219 168793 218438 337586 436876 675172 873752 1350344 1856723 2869481 3713446 5738962 7426892 11477924 14853784 22955848 31564291 63128582 126257164 252514328