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257031024 = 24317314989
BaseRepresentation
bin11110101000111…
…11101101110000
3122220122112021120
433110133231300
51011244443044
641301022240
76240504405
oct1724375560
9586575246
10257031024
111220a6238
12720b4980
1341334a83
14261ca2ac
1517872519
hexf51fb70

257031024 has 40 divisors (see below), whose sum is σ = 703057680. Its totient is φ = 80636928.

The previous prime is 257031017. The next prime is 257031053. The reversal of 257031024 is 420130752.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 257030985 and 257031003.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 156679 + ... + 158310.

It is an arithmetic number, because the mean of its divisors is an integer number (17576442).

Almost surely, 2257031024 is an apocalyptic number.

257031024 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

257031024 is an abundant number, since it is smaller than the sum of its proper divisors (446026656).

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

257031024 is a wasteful number, since it uses less digits than its factorization.

257031024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 315017 (or 315011 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 24.

The square root of 257031024 is about 16032.1871246564. The cubic root of 257031024 is about 635.8117001198.

Adding to 257031024 its reverse (420130752), we get a palindrome (677161776).

The spelling of 257031024 in words is "two hundred fifty-seven million, thirty-one thousand, twenty-four".

Divisors: 1 2 3 4 6 8 12 16 17 24 34 48 51 68 102 136 204 272 408 816 314989 629978 944967 1259956 1889934 2519912 3779868 5039824 5354813 7559736 10709626 15119472 16064439 21419252 32128878 42838504 64257756 85677008 128515512 257031024