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252350664 = 233233114747
BaseRepresentation
bin11110000101010…
…01000011001000
3122120211202000220
433002221003020
51004100210124
641012430040
76152642136
oct1702510310
9576752026
10252350664
1111a499875
1270618320
1340386627
142572c756
151724a879
hexf0a90c8

252350664 has 64 divisors (see below), whose sum is σ = 679587840. Its totient is φ = 77858880.

The previous prime is 252350597. The next prime is 252350699. The reversal of 252350664 is 466053252.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9739 + ... + 24485.

It is an arithmetic number, because the mean of its divisors is an integer number (10618560).

Almost surely, 2252350664 is an apocalyptic number.

252350664 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 252350664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (339793920).

252350664 is an abundant number, since it is smaller than the sum of its proper divisors (427237176).

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

252350664 is a wasteful number, since it uses less digits than its factorization.

252350664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14810 (or 14806 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 33.

The square root of 252350664 is about 15885.5489045862. The cubic root of 252350664 is about 631.9288028006.

The spelling of 252350664 in words is "two hundred fifty-two million, three hundred fifty thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 23 24 31 46 62 69 92 93 124 138 184 186 248 276 372 552 713 744 1426 2139 2852 4278 5704 8556 14747 17112 29494 44241 58988 88482 117976 176964 339181 353928 457157 678362 914314 1017543 1356724 1371471 1828628 2035086 2713448 2742942 3657256 4070172 5485884 8140344 10514611 10971768 21029222 31543833 42058444 63087666 84116888 126175332 252350664