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252937804 = 22731931313
BaseRepresentation
bin11110001001110…
…00011001001100
3122121221120102211
433010320121030
51004223002204
641033200204
76160636000
oct1704703114
9577846384
10252937804
1111a85aa09
1270860064
1340530952
1425842700
1517314804
hexf13864c

252937804 has 96 divisors (see below), whose sum is σ = 562688000. Its totient is φ = 99066240.

The previous prime is 252937799. The next prime is 252937819. The reversal of 252937804 is 408739252.

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 31 ways as a sum of consecutive naturals, for example, 807952 + ... + 808264.

Almost surely, 2252937804 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 252937804, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (281344000).

252937804 is an abundant number, since it is smaller than the sum of its proper divisors (309750196).

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

252937804 is a wasteful number, since it uses less digits than its factorization.

252937804 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 388 (or 372 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 40.

The square root of 252937804 is about 15904.0184859047. The cubic root of 252937804 is about 632.4185225235.

The spelling of 252937804 in words is "two hundred fifty-two million, nine hundred thirty-seven thousand, eight hundred four".

Divisors: 1 2 4 7 14 19 28 31 38 49 62 76 98 124 133 196 217 266 313 343 434 532 589 626 686 868 931 1178 1252 1372 1519 1862 2191 2356 3038 3724 4123 4382 5947 6076 6517 8246 8764 9703 10633 11894 13034 15337 16492 19406 21266 23788 26068 28861 30674 38812 41629 42532 57722 61348 67921 83258 107359 115444 135842 166516 184357 202027 214718 271684 291403 368714 404054 429436 475447 582806 737428 808108 950894 1165612 1290499 1901788 2039821 2580998 3328129 4079642 5161996 6656258 8159284 9033493 13312516 18066986 36133972 63234451 126468902 252937804