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258104952 = 233272149491
BaseRepresentation
bin11110110001001…
…01111001111000
3122222200002102200
433120211321320
51012033324302
641340030200
76252566400
oct1730457170
9588602380
10258104952
1112276a086
1272532360
134161c831
14263c9800
15179d581c
hexf625e78

258104952 has 144 divisors (see below), whose sum is σ = 820287000. Its totient is φ = 73100160.

The previous prime is 258104947. The next prime is 258104953. The reversal of 258104952 is 259401852.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (258104953) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 525427 + ... + 525917.

Almost surely, 2258104952 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 258104952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (410143500).

258104952 is an abundant number, since it is smaller than the sum of its proper divisors (562182048).

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

258104952 is a wasteful number, since it uses less digits than its factorization.

258104952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 666 (or 652 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 36.

The square root of 258104952 is about 16065.6450850876. The cubic root of 258104952 is about 636.6959866374.

The spelling of 258104952 in words is "two hundred fifty-eight million, one hundred four thousand, nine hundred fifty-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 49 56 63 72 84 98 126 147 149 168 196 252 294 298 392 441 447 491 504 588 596 882 894 982 1043 1176 1192 1341 1473 1764 1788 1964 2086 2682 2946 3129 3437 3528 3576 3928 4172 4419 5364 5892 6258 6874 7301 8344 8838 9387 10311 10728 11784 12516 13748 14602 17676 18774 20622 21903 24059 25032 27496 29204 30933 35352 37548 41244 43806 48118 58408 61866 65709 72177 73159 75096 82488 87612 96236 123732 131418 144354 146318 175224 192472 216531 219477 247464 262836 288708 292636 433062 438954 512113 525672 577416 585272 658431 866124 877908 1024226 1316862 1536339 1732248 1755816 2048452 2633724 3072678 3584791 4096904 4609017 5267448 6145356 7169582 9218034 10754373 12290712 14339164 18436068 21508746 28678328 32263119 36872136 43017492 64526238 86034984 129052476 258104952