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258856 = 231319131
BaseRepresentation
bin111111001100101000
3111011002021
4333030220
531240411
65314224
72125453
oct771450
9434067
10258856
11167534
12105974
1390a90
146a49a
1551a71
hex3f328

258856 has 32 divisors (see below), whose sum is σ = 554400. Its totient is φ = 112320.

The previous prime is 258847. The next prime is 258871. The reversal of 258856 is 658852.

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, 1911 + ... + 2041.

It is an arithmetic number, because the mean of its divisors is an integer number (17325).

2258856 is an apocalyptic number.

258856 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 258856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (277200).

258856 is an abundant number, since it is smaller than the sum of its proper divisors (295544).

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

258856 is a wasteful number, since it uses less digits than its factorization.

258856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 169 (or 165 counting only the distinct ones).

The product of its digits is 19200, while the sum is 34.

The square root of 258856 is about 508.7789303814. The cubic root of 258856 is about 63.7312952942.

The spelling of 258856 in words is "two hundred fifty-eight thousand, eight hundred fifty-six".

Divisors: 1 2 4 8 13 19 26 38 52 76 104 131 152 247 262 494 524 988 1048 1703 1976 2489 3406 4978 6812 9956 13624 19912 32357 64714 129428 258856