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252325376 = 294373157
BaseRepresentation
bin11110000101000…
…10111000000000
3122120210110100022
433002202320000
51004043403001
641012113012
76152505332
oct1702427000
9576713308
10252325376
1111a481876
1270605768
1340377c74
1425723452
151724311b
hexf0a2e00

252325376 has 80 divisors (see below), whose sum is σ = 526280304. Its totient is φ = 120766464.

The previous prime is 252325363. The next prime is 252325393. The reversal of 252325376 is 673523252.

252325376 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1607090 + ... + 1607246.

Almost surely, 2252325376 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 252325376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (263140152).

252325376 is an abundant number, since it is smaller than the sum of its proper divisors (273954928).

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

252325376 is an equidigital number, since it uses as much as digits as its factorization.

252325376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 291 (or 275 counting only the distinct ones).

The product of its digits is 75600, while the sum is 35.

The square root of 252325376 is about 15884.7529411068. The cubic root of 252325376 is about 631.9076936171.

The spelling of 252325376 in words is "two hundred fifty-two million, three hundred twenty-five thousand, three hundred seventy-six".

Divisors: 1 2 4 8 16 32 43 64 73 86 128 146 157 172 256 292 314 344 512 584 628 688 1168 1256 1376 2336 2512 2752 3139 4672 5024 5504 6278 6751 9344 10048 11008 11461 12556 13502 18688 20096 22016 22922 25112 27004 37376 40192 45844 50224 54008 80384 91688 100448 108016 183376 200896 216032 366752 401792 432064 492823 733504 803584 864128 985646 1467008 1607168 1728256 1971292 2934016 3456512 3942584 5868032 7885168 15770336 31540672 63081344 126162688 252325376