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257088252 = 22359363119
BaseRepresentation
bin11110101001011…
…01101011111100
3122220202102210010
433110231223330
51011303311002
641302143220
76241133301
oct1724555374
9586672703
10257088252
11122135233
1272121b10
1341354b35
14262030a8
151788446c
hexf52dafc

257088252 has 24 divisors (see below), whose sum is σ = 610041600. Its totient is φ = 84243376.

The previous prime is 257088241. The next prime is 257088269. The reversal of 257088252 is 252880752.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 257088252.

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, 180852 + ... + 182267.

It is an arithmetic number, because the mean of its divisors is an integer number (25418400).

Almost surely, 2257088252 is an apocalyptic number.

It is an amenable number.

257088252 is an abundant number, since it is smaller than the sum of its proper divisors (352953348).

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

257088252 is a wasteful number, since it uses less digits than its factorization.

257088252 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 363185 (or 363183 counting only the distinct ones).

The product of its (nonzero) digits is 89600, while the sum is 39.

The square root of 257088252 is about 16033.9718098792. The cubic root of 257088252 is about 635.8588844782.

The spelling of 257088252 in words is "two hundred fifty-seven million, eighty-eight thousand, two hundred fifty-two".

Divisors: 1 2 3 4 6 12 59 118 177 236 354 708 363119 726238 1089357 1452476 2178714 4357428 21424021 42848042 64272063 85696084 128544126 257088252