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258677672 = 23112267229
BaseRepresentation
bin11110110101100…
…01101110101000
3200000202012001112
433122301232220
51012210141142
641400205452
76260503211
oct1732615650
9600665045
10258677672
11123020400
1272769888
1341790416
14264d8408
1517a9a382
hexf6b1ba8

258677672 has 24 divisors (see below), whose sum is σ = 533123850. Its totient is φ = 117580320.

The previous prime is 258677659. The next prime is 258677681. The reversal of 258677672 is 276776852.

It can be written as a sum of positive squares in only one way, i.e., 255808036 + 2869636 = 15994^2 + 1694^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 258677672.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 132647 + ... + 134582.

Almost surely, 2258677672 is an apocalyptic number.

258677672 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

258677672 is an abundant number, since it is smaller than the sum of its proper divisors (274446178).

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

258677672 is a wasteful number, since it uses less digits than its factorization.

258677672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 267257 (or 267242 counting only the distinct ones).

The product of its digits is 1975680, while the sum is 50.

The square root of 258677672 is about 16083.4595780883. The cubic root of 258677672 is about 637.1665692993.

The spelling of 258677672 in words is "two hundred fifty-eight million, six hundred seventy-seven thousand, six hundred seventy-two".

Divisors: 1 2 4 8 11 22 44 88 121 242 484 968 267229 534458 1068916 2137832 2939519 5879038 11758076 23516152 32334709 64669418 129338836 258677672