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258056388 = 22335993989
BaseRepresentation
bin11110110000110…
…10000011000100
3122222120121211000
433120122003010
51012030301023
641335013300
76252304662
oct1730320304
9588517730
10258056388
11122736647
127250a230
13416036b5
14263b5c32
15179c6243
hexf61a0c4

258056388 has 48 divisors (see below), whose sum is σ = 670320000. Its totient is φ = 85853664.

The previous prime is 258056377. The next prime is 258056399. The reversal of 258056388 is 883650852.

It is a happy number.

258056388 is a `hidden beast` number, since 2 + 5 + 8 + 0 + 5 + 638 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (258056377) and next prime (258056399).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 62698 + ... + 66686.

It is an arithmetic number, because the mean of its divisors is an integer number (13965000).

Almost surely, 2258056388 is an apocalyptic number.

It is an amenable number.

258056388 is an abundant number, since it is smaller than the sum of its proper divisors (412263612).

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

258056388 is a wasteful number, since it uses less digits than its factorization.

258056388 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4601 (or 4593 counting only the distinct ones).

The product of its (nonzero) digits is 460800, while the sum is 45.

The square root of 258056388 is about 16064.1335900820. The cubic root of 258056388 is about 636.6560514054.

The spelling of 258056388 in words is "two hundred fifty-eight million, fifty-six thousand, three hundred eighty-eight".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 108 599 1198 1797 2396 3594 3989 5391 7188 7978 10782 11967 15956 16173 21564 23934 32346 35901 47868 64692 71802 107703 143604 215406 430812 2389411 4778822 7168233 9557644 14336466 21504699 28672932 43009398 64514097 86018796 129028194 258056388