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252774912 = 2931312659
BaseRepresentation
bin11110001000100…
…00101000000000
3122121122021222210
433010100220000
51004202244122
641025502120
76156360045
oct1704205000
9577567883
10252774912
1111a759595
12707a1940
13404a4770
14257dd1cc
15172d140c
hexf110a00

252774912 has 80 divisors (see below), whose sum is σ = 725266080. Its totient is φ = 77770752.

The previous prime is 252774889. The next prime is 252774931. The reversal of 252774912 is 219477252.

It is a super-2 number, since 2×2527749122 = 127790312273215488, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 13639 + ... + 26297.

It is an arithmetic number, because the mean of its divisors is an integer number (9065826).

Almost surely, 2252774912 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 252774912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (362633040).

252774912 is an abundant number, since it is smaller than the sum of its proper divisors (472491168).

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

252774912 is a wasteful number, since it uses less digits than its factorization.

252774912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12693 (or 12677 counting only the distinct ones).

The product of its digits is 70560, while the sum is 39.

The square root of 252774912 is about 15898.8965654853. The cubic root of 252774912 is about 632.2827341487.

The spelling of 252774912 in words is "two hundred fifty-two million, seven hundred seventy-four thousand, nine hundred twelve".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 64 78 96 104 128 156 192 208 256 312 384 416 512 624 768 832 1248 1536 1664 2496 3328 4992 6656 9984 12659 19968 25318 37977 50636 75954 101272 151908 164567 202544 303816 329134 405088 493701 607632 658268 810176 987402 1215264 1316536 1620352 1974804 2430528 2633072 3240704 3949608 4861056 5266144 6481408 7899216 9722112 10532288 15798432 19444224 21064576 31596864 42129152 63193728 84258304 126387456 252774912