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252734944 = 25721114653
BaseRepresentation
bin11110001000001…
…10110111100000
3122121120021011111
433010012313200
51004200004234
641024553104
76156132400
oct1704066740
9577507144
10252734944
1111a731560
1270782794
134048c507
14257cc800
15172c4664
hexf106de0

252734944 has 72 divisors (see below), whose sum is σ = 631470168. Its totient is φ = 98461440.

The previous prime is 252734929. The next prime is 252734957. The reversal of 252734944 is 449437252.

It is a junction number, because it is equal to n+sod(n) for n = 252734897 and 252734906.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 9922 + ... + 24574.

It is an arithmetic number, because the mean of its divisors is an integer number (8770419).

Almost surely, 2252734944 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 252734944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (315735084).

252734944 is an abundant number, since it is smaller than the sum of its proper divisors (378735224).

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

252734944 is a wasteful number, since it uses less digits than its factorization.

252734944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14688 (or 14673 counting only the distinct ones).

The product of its digits is 241920, while the sum is 40.

The square root of 252734944 is about 15897.6395732197. The cubic root of 252734944 is about 632.2494075181.

The spelling of 252734944 in words is "two hundred fifty-two million, seven hundred thirty-four thousand, nine hundred forty-four".

Divisors: 1 2 4 7 8 11 14 16 22 28 32 44 49 56 77 88 98 112 154 176 196 224 308 352 392 539 616 784 1078 1232 1568 2156 2464 4312 8624 14653 17248 29306 58612 102571 117224 161183 205142 234448 322366 410284 468896 644732 717997 820568 1128281 1289464 1435994 1641136 2256562 2578928 2871988 3282272 4513124 5157856 5743976 7897967 9026248 11487952 15795934 18052496 22975904 31591868 36104992 63183736 126367472 252734944