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258042756 = 22379293929
BaseRepresentation
bin11110110000101…
…10101110000100
3122222112221010010
433120112232010
51012024332011
641334430220
76252220146
oct1730265604
9588487103
10258042756
11122727384
1272502370
13415ca42a
14263b0c96
15179c21a6
hexf616b84

258042756 has 48 divisors (see below), whose sum is σ = 612460800. Its totient is φ = 84544512.

The previous prime is 258042739. The next prime is 258042769. The reversal of 258042756 is 657240852.

258042756 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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, 277300 + ... + 278228.

It is an arithmetic number, because the mean of its divisors is an integer number (12759600).

Almost surely, 2258042756 is an apocalyptic number.

It is an amenable number.

258042756 is an abundant number, since it is smaller than the sum of its proper divisors (354418044).

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

258042756 is a wasteful number, since it uses less digits than its factorization.

258042756 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1308 (or 1306 counting only the distinct ones).

The product of its (nonzero) digits is 134400, while the sum is 39.

The square root of 258042756 is about 16063.7092852180. The cubic root of 258042756 is about 636.6448406152.

The spelling of 258042756 in words is "two hundred fifty-eight million, forty-two thousand, seven hundred fifty-six".

Divisors: 1 2 3 4 6 12 79 158 237 293 316 474 586 879 929 948 1172 1758 1858 2787 3516 3716 5574 11148 23147 46294 69441 73391 92588 138882 146782 220173 272197 277764 293564 440346 544394 816591 880692 1088788 1633182 3266364 21503563 43007126 64510689 86014252 129021378 258042756