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252389376 = 2113213693
BaseRepresentation
bin11110000101100…
…10100000000000
3122120220201010200
433002302200000
51004102430001
641013325200
76153163041
oct1702624000
9576821120
10252389376
1111a515968
1270636800
134039b135
142573c8c8
1517257086
hexf0b2800

252389376 has 72 divisors (see below), whose sum is σ = 729000090. Its totient is φ = 84123648.

The previous prime is 252389359. The next prime is 252389479. The reversal of 252389376 is 673983252.

It can be written as a sum of positive squares in only one way, i.e., 130507776 + 121881600 = 11424^2 + 11040^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 11586 + ... + 25278.

Almost surely, 2252389376 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 252389376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (364500045).

252389376 is an abundant number, since it is smaller than the sum of its proper divisors (476610714).

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

252389376 is a wasteful number, since it uses less digits than its factorization.

252389376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13721 (or 13698 counting only the distinct ones).

The product of its digits is 544320, while the sum is 45.

The square root of 252389376 is about 15886.7673237824. The cubic root of 252389376 is about 631.9611149499.

The spelling of 252389376 in words is "two hundred fifty-two million, three hundred eighty-nine thousand, three hundred seventy-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 512 576 768 1024 1152 1536 2048 2304 3072 4608 6144 9216 13693 18432 27386 41079 54772 82158 109544 123237 164316 219088 246474 328632 438176 492948 657264 876352 985896 1314528 1752704 1971792 2629056 3505408 3943584 5258112 7010816 7887168 10516224 14021632 15774336 21032448 28043264 31548672 42064896 63097344 84129792 126194688 252389376