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258113328 = 243112192339
BaseRepresentation
bin11110110001001…
…11111100110000
3122222200111220220
433120213330300
51012034111303
641340133040
76252632664
oct1730477460
9588614826
10258113328
11122775400
1272537180
13416235a5
14263cc8a4
15179d8053
hexf627f30

258113328 has 120 divisors (see below), whose sum is σ = 771825600. Its totient is φ = 74067840.

The previous prime is 258113321. The next prime is 258113341. The reversal of 258113328 is 823311852.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (258113321) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 109183 + ... + 111521.

It is an arithmetic number, because the mean of its divisors is an integer number (6431880).

Almost surely, 2258113328 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 258113328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (385912800).

258113328 is an abundant number, since it is smaller than the sum of its proper divisors (513712272).

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

258113328 is a wasteful number, since it uses less digits than its factorization.

258113328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2391 (or 2374 counting only the distinct ones).

The product of its digits is 11520, while the sum is 33.

The square root of 258113328 is about 16065.9057634483. The cubic root of 258113328 is about 636.7028738976.

The spelling of 258113328 in words is "two hundred fifty-eight million, one hundred thirteen thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 8 11 12 16 19 22 24 33 38 44 48 57 66 76 88 114 121 132 152 176 209 228 242 264 304 363 418 456 484 528 627 726 836 912 968 1254 1452 1672 1936 2299 2339 2508 2904 3344 4598 4678 5016 5808 6897 7017 9196 9356 10032 13794 14034 18392 18712 25729 27588 28068 36784 37424 44441 51458 55176 56136 77187 88882 102916 110352 112272 133323 154374 177764 205832 266646 283019 308748 355528 411664 488851 533292 566038 617496 711056 849057 977702 1066584 1132076 1234992 1466553 1698114 1955404 2133168 2264152 2933106 3396228 3910808 4528304 5377361 5866212 6792456 7821616 10754722 11732424 13584912 16132083 21509444 23464848 32264166 43018888 64528332 86037776 129056664 258113328