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258664 = 23731149
BaseRepresentation
bin111111001001101000
3111010211011
4333021220
531234124
65313304
72125060
oct771150
9433734
10258664
1116737a
12105834
1390973
146a3a0
1551994
hex3f268

258664 has 32 divisors (see below), whose sum is σ = 576000. Its totient is φ = 106560.

The previous prime is 258659. The next prime is 258673. The reversal of 258664 is 466852.

It is a Smith number, since the sum of its digits (31) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is a congruent number.

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, 1662 + ... + 1810.

It is an arithmetic number, because the mean of its divisors is an integer number (18000).

2258664 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 258664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (288000).

258664 is an abundant number, since it is smaller than the sum of its proper divisors (317336).

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

258664 is a wasteful number, since it uses less digits than its factorization.

258664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 193 (or 189 counting only the distinct ones).

The product of its digits is 11520, while the sum is 31.

The square root of 258664 is about 508.5902083210. The cubic root of 258664 is about 63.7155343624.

The spelling of 258664 in words is "two hundred fifty-eight thousand, six hundred sixty-four".

Divisors: 1 2 4 7 8 14 28 31 56 62 124 149 217 248 298 434 596 868 1043 1192 1736 2086 4172 4619 8344 9238 18476 32333 36952 64666 129332 258664