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258928056 = 23338913469
BaseRepresentation
bin11110110111011…
…10110110111000
3200001012220112000
433123232312320
51012241144211
641405421000
76262565202
oct1733566670
9601186460
10258928056
11123181532
127286a760
134184a38a
1426561772
1517ae9656
hexf6eedb8

258928056 has 64 divisors (see below), whose sum is σ = 727380000. Its totient is φ = 85333248.

The previous prime is 258928031. The next prime is 258928073. The reversal of 258928056 is 650829852.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12490 + ... + 25958.

Almost surely, 2258928056 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 258928056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (363690000).

258928056 is an abundant number, since it is smaller than the sum of its proper divisors (468451944).

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

258928056 is a wasteful number, since it uses less digits than its factorization.

258928056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13573 (or 13563 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 45.

The square root of 258928056 is about 16091.2415928666. The cubic root of 258928056 is about 637.3720822928.

The spelling of 258928056 in words is "two hundred fifty-eight million, nine hundred twenty-eight thousand, fifty-six".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 89 108 178 216 267 356 534 712 801 1068 1602 2136 2403 3204 4806 6408 9612 13469 19224 26938 40407 53876 80814 107752 121221 161628 242442 323256 363663 484884 727326 969768 1198741 1454652 2397482 2909304 3596223 4794964 7192446 9589928 10788669 14384892 21577338 28769784 32366007 43154676 64732014 86309352 129464028 258928056