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257831056 = 24713117573
BaseRepresentation
bin11110101111000…
…11000010010000
3122222011011201101
433113203002100
51012001043211
641330114144
76250346020
oct1727430220
9588134641
10257831056
111225a231a
127241b954
1341554c72
1426357a80
151797e5c1
hexf5e3090

257831056 has 40 divisors (see below), whose sum is σ = 575302464. Its totient is φ = 109649280.

The previous prime is 257831051. The next prime is 257831087. The reversal of 257831056 is 650138752.

It is a hoax number, since the sum of its digits (37) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (257831051) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5886 + ... + 23458.

Almost surely, 2257831056 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 257831056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (287651232).

257831056 is an abundant number, since it is smaller than the sum of its proper divisors (317471408).

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

257831056 is a wasteful number, since it uses less digits than its factorization.

257831056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17719 (or 17713 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 37.

The square root of 257831056 is about 16057.1185459907. The cubic root of 257831056 is about 636.4706904224.

The spelling of 257831056 in words is "two hundred fifty-seven million, eight hundred thirty-one thousand, fifty-six".

Divisors: 1 2 4 7 8 14 16 28 56 112 131 262 524 917 1048 1834 2096 3668 7336 14672 17573 35146 70292 123011 140584 246022 281168 492044 984088 1968176 2302063 4604126 9208252 16114441 18416504 32228882 36833008 64457764 128915528 257831056