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252438312 = 23374167547
BaseRepresentation
bin11110000101111…
…10011100101000
3122121000012021010
433002332130220
51004111011222
641014343520
76153455520
oct1702763450
9577005233
10252438312
1111a549705
127065aba0
13403b74a9
1425752680
151726680c
hexf0be728

252438312 has 128 divisors (see below), whose sum is σ = 751242240. Its totient is φ = 69189120.

The previous prime is 252438293. The next prime is 252438371. The reversal of 252438312 is 213834252.

It is a self number, because there is not a number n which added to its sum of digits gives 252438312.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 461223 + ... + 461769.

It is an arithmetic number, because the mean of its divisors is an integer number (5869080).

Almost surely, 2252438312 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 252438312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (375621120).

252438312 is an abundant number, since it is smaller than the sum of its proper divisors (498803928).

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

252438312 is a wasteful number, since it uses less digits than its factorization.

252438312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 671 (or 667 counting only the distinct ones).

The product of its digits is 11520, while the sum is 30.

The square root of 252438312 is about 15888.3073988389. The cubic root of 252438312 is about 632.0019561441.

The spelling of 252438312 in words is "two hundred fifty-two million, four hundred thirty-eight thousand, three hundred twelve".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 41 42 56 67 82 84 123 134 164 168 201 246 268 287 328 402 469 492 536 547 574 804 861 938 984 1094 1148 1407 1608 1641 1722 1876 2188 2296 2747 2814 3282 3444 3752 3829 4376 5494 5628 6564 6888 7658 8241 10988 11256 11487 13128 15316 16482 19229 21976 22427 22974 30632 32964 36649 38458 44854 45948 57687 65928 67281 73298 76916 89708 91896 109947 115374 134562 146596 153832 156989 179416 219894 230748 256543 269124 293192 313978 439788 461496 470967 513086 538248 627956 769629 879576 941934 1026172 1255912 1502609 1539258 1883868 2052344 3005218 3078516 3767736 4507827 6010436 6157032 9015654 10518263 12020872 18031308 21036526 31554789 36062616 42073052 63109578 84146104 126219156 252438312