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252729384 = 23389179661
BaseRepresentation
bin11110001000001…
…01100000101000
3122121112222112120
433010011200220
51004144320014
641024511240
76156110235
oct1704054050
9577488476
10252729384
1111a728366
127077b520
1340489b1b
14257ca78c
15172c2ba9
hexf105828

252729384 has 64 divisors (see below), whose sum is σ = 643464000. Its totient is φ = 82705920.

The previous prime is 252729377. The next prime is 252729401. The reversal of 252729384 is 483927252.

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, 382014 + ... + 382674.

It is an arithmetic number, because the mean of its divisors is an integer number (10054125).

Almost surely, 2252729384 is an apocalyptic number.

252729384 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

252729384 is an abundant number, since it is smaller than the sum of its proper divisors (390734616).

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

252729384 is a wasteful number, since it uses less digits than its factorization.

252729384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 938 (or 934 counting only the distinct ones).

The product of its digits is 241920, while the sum is 42.

The square root of 252729384 is about 15897.4647035306. The cubic root of 252729384 is about 632.2447711291.

The spelling of 252729384 in words is "two hundred fifty-two million, seven hundred twenty-nine thousand, three hundred eighty-four".

Divisors: 1 2 3 4 6 8 12 24 89 178 179 267 356 358 534 537 661 712 716 1068 1074 1322 1432 1983 2136 2148 2644 3966 4296 5288 7932 15864 15931 31862 47793 58829 63724 95586 117658 118319 127448 176487 191172 235316 236638 352974 354957 382344 470632 473276 705948 709914 946552 1411896 1419828 2839656 10530391 21060782 31591173 42121564 63182346 84243128 126364692 252729384