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257406952 = 23112925079
BaseRepresentation
bin11110101011110…
…11011111101000
3122221100121221211
433111323133220
51011344010302
641313042504
76243631405
oct1725733750
9587317854
10257406952
11122332720
1272256434
1341436c0a
14262872ac
15178e8ad7
hexf57b7e8

257406952 has 16 divisors (see below), whose sum is σ = 526514400. Its totient is φ = 117003120.

The previous prime is 257406943. The next prime is 257406973. The reversal of 257406952 is 259604752.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1462452 + ... + 1462627.

It is an arithmetic number, because the mean of its divisors is an integer number (32907150).

Almost surely, 2257406952 is an apocalyptic number.

257406952 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

257406952 is an abundant number, since it is smaller than the sum of its proper divisors (269107448).

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

257406952 is a wasteful number, since it uses less digits than its factorization.

257406952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2925096 (or 2925092 counting only the distinct ones).

The product of its (nonzero) digits is 151200, while the sum is 40.

The square root of 257406952 is about 16043.9070054647. The cubic root of 257406952 is about 636.1215239217.

The spelling of 257406952 in words is "two hundred fifty-seven million, four hundred six thousand, nine hundred fifty-two".

Divisors: 1 2 4 8 11 22 44 88 2925079 5850158 11700316 23400632 32175869 64351738 128703476 257406952