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258280164 = 2234797161
BaseRepresentation
bin11110110010100…
…00101011100100
3122222222222210000
433121100223210
51012104431124
641343501300
76254226252
oct1731205344
9588888700
10258280164
1112287978a
12725b7830
13416814cc
14264335d2
1517a1c6c9
hexf650ae4

258280164 has 30 divisors (see below), whose sum is σ = 675196214. Its totient is φ = 86093280.

The previous prime is 258280163. The next prime is 258280193. The reversal of 258280164 is 461082852.

258280164 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 185177664 + 73102500 = 13608^2 + 8550^2 .

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (258280163) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 398257 + ... + 398904.

Almost surely, 2258280164 is an apocalyptic number.

It is an amenable number.

258280164 is an abundant number, since it is smaller than the sum of its proper divisors (416916050).

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

258280164 is a wasteful number, since it uses less digits than its factorization.

258280164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 797177 (or 797166 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The square root of 258280164 is about 16071.0971622973. The cubic root of 258280164 is about 636.8400256453.

The spelling of 258280164 in words is "two hundred fifty-eight million, two hundred eighty thousand, one hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 324 797161 1594322 2391483 3188644 4782966 7174449 9565932 14348898 21523347 28697796 43046694 64570041 86093388 129140082 258280164