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258124272 = 24371940433
BaseRepresentation
bin11110110001010…
…10100111110000
3122222201001221020
433120222213300
51012034434042
641340255440
76253006620
oct1730524760
9588631836
10258124272
1112278264a
1272541580
1341628573
14263d2880
15179db3ec
hexf62a9f0

258124272 has 80 divisors (see below), whose sum is σ = 802210560. Its totient is φ = 69866496.

The previous prime is 258124249. The next prime is 258124289. The reversal of 258124272 is 272421852.

It is a congruent number.

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, 13833 + ... + 26600.

It is an arithmetic number, because the mean of its divisors is an integer number (10027632).

Almost surely, 2258124272 is an apocalyptic number.

It is an amenable number.

258124272 is an abundant number, since it is smaller than the sum of its proper divisors (544086288).

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

258124272 is a wasteful number, since it uses less digits than its factorization.

258124272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40470 (or 40464 counting only the distinct ones).

The product of its digits is 17920, while the sum is 33.

The square root of 258124272 is about 16066.2463568812. The cubic root of 258124272 is about 636.7118725002.

The spelling of 258124272 in words is "two hundred fifty-eight million, one hundred twenty-four thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 19 21 24 28 38 42 48 56 57 76 84 112 114 133 152 168 228 266 304 336 399 456 532 798 912 1064 1596 2128 3192 6384 40433 80866 121299 161732 242598 283031 323464 485196 566062 646928 768227 849093 970392 1132124 1536454 1698186 1940784 2264248 2304681 3072908 3396372 4528496 4609362 5377589 6145816 6792744 9218724 10755178 12291632 13585488 16132767 18437448 21510356 32265534 36874896 43020712 64531068 86041424 129062136 258124272