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257164812 = 22327143467
BaseRepresentation
bin11110101010000…
…00011000001100
3122220220022210200
433111000120030
51011313233222
641303533500
76241602432
oct1725003014
9586808720
10257164812
11122187803
127215a290
1341380938
1426222d52
151789beac
hexf54060c

257164812 has 18 divisors (see below), whose sum is σ = 650055588. Its totient is φ = 85721592.

The previous prime is 257164783. The next prime is 257164813. The reversal of 257164812 is 218461752.

257164812 is a `hidden beast` number, since 2 + 5 + 7 + 1 + 648 + 1 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (18).

It is a super-2 number, since 2×2571648122 = 132267481061990688, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36), and also a Moran number because the ratio is a prime number: 7143467 = 257164812 / (2 + 5 + 7 + 1 + 6 + 4 + 8 + 1 + 2).

It is not an unprimeable number, because it can be changed into a prime (257164813) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 3571698 + ... + 3571769.

Almost surely, 2257164812 is an apocalyptic number.

It is an amenable number.

257164812 is an abundant number, since it is smaller than the sum of its proper divisors (392890776).

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

257164812 is a wasteful number, since it uses less digits than its factorization.

257164812 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7143477 (or 7143472 counting only the distinct ones).

The product of its digits is 26880, while the sum is 36.

The square root of 257164812 is about 16036.3590630791. The cubic root of 257164812 is about 635.9219970789.

The spelling of 257164812 in words is "two hundred fifty-seven million, one hundred sixty-four thousand, eight hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 36 7143467 14286934 21430401 28573868 42860802 64291203 85721604 128582406 257164812