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252556752 = 24373124247
BaseRepresentation
bin11110000110110…
…11010111010000
3122121020012201210
433003123113100
51004123304002
641021100120
76154461030
oct1703332720
9577205653
10252556752
1111a61a698
12706b7640
1340429386
14257838c0
151728b96c
hexf0db5d0

252556752 has 80 divisors (see below), whose sum is σ = 769728512. Its totient is φ = 69828480.

The previous prime is 252556751. The next prime is 252556769. The reversal of 252556752 is 257655252.

It is a self number, because there is not a number n which added to its sum of digits gives 252556752.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (252556751) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1708 + ... + 22539.

Almost surely, 2252556752 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 252556752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (384864256).

252556752 is an abundant number, since it is smaller than the sum of its proper divisors (517171760).

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

252556752 is a wasteful number, since it uses less digits than its factorization.

252556752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24296 (or 24290 counting only the distinct ones).

The product of its digits is 210000, while the sum is 39.

The square root of 252556752 is about 15892.0342310228. The cubic root of 252556752 is about 632.1007824109.

The spelling of 252556752 in words is "two hundred fifty-two million, five hundred fifty-six thousand, seven hundred fifty-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 31 42 48 56 62 84 93 112 124 168 186 217 248 336 372 434 496 651 744 868 1302 1488 1736 2604 3472 5208 10416 24247 48494 72741 96988 145482 169729 193976 290964 339458 387952 509187 581928 678916 751657 1018374 1163856 1357832 1503314 2036748 2254971 2715664 3006628 4073496 4509942 5261599 6013256 8146992 9019884 10523198 12026512 15784797 18039768 21046396 31569594 36079536 42092792 63139188 84185584 126278376 252556752