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258042232 = 23722922699
BaseRepresentation
bin11110110000101…
…10100101111000
3122222112220101201
433120112211320
51012024322412
641334423544
76252215500
oct1730264570
9588486351
10258042232
11122726a48
1272501bb4
13415ca116
14263b0a00
15179c1e57
hexf616978

258042232 has 48 divisors (see below), whose sum is σ = 582255000. Its totient is φ = 106771392.

The previous prime is 258042227. The next prime is 258042263. The reversal of 258042232 is 232240852.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a self number, because there is not a number n which added to its sum of digits gives 258042232.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 19 + ... + 22717.

Almost surely, 2258042232 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 258042232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (291127500).

258042232 is an abundant number, since it is smaller than the sum of its proper divisors (324212768).

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

258042232 is a wasteful number, since it uses less digits than its factorization.

258042232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22748 (or 22737 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 28.

The square root of 258042232 is about 16063.6929751536. The cubic root of 258042232 is about 636.6444096761.

The spelling of 258042232 in words is "two hundred fifty-eight million, forty-two thousand, two hundred thirty-two".

Divisors: 1 2 4 7 8 14 28 29 49 56 58 98 116 196 203 232 392 406 812 1421 1624 2842 5684 11368 22699 45398 90796 158893 181592 317786 635572 658271 1112251 1271144 1316542 2224502 2633084 4449004 4607897 5266168 8898008 9215794 18431588 32255279 36863176 64510558 129021116 258042232