Search a number
-
+
252339456 = 2831917293
BaseRepresentation
bin11110000101001…
…10010100000000
3122120211011122210
433002212110000
51004044330311
641012302120
76152564355
oct1702462400
9576734583
10252339456
1111a491406
1270611940
13403814b5
142572862c
15172473a6
hexf0a6500

252339456 has 72 divisors (see below), whose sum is σ = 706978720. Its totient is φ = 79681536.

The previous prime is 252339431. The next prime is 252339499. The reversal of 252339456 is 654933252.

It is a congruent number.

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, 5946 + ... + 23238.

Almost surely, 2252339456 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 252339456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (353489360).

252339456 is an abundant number, since it is smaller than the sum of its proper divisors (454639264).

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

252339456 is a wasteful number, since it uses less digits than its factorization.

252339456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17331 (or 17317 counting only the distinct ones).

The product of its digits is 194400, while the sum is 39.

The square root of 252339456 is about 15885.1961272123. The cubic root of 252339456 is about 631.9194470853.

The spelling of 252339456 in words is "two hundred fifty-two million, three hundred thirty-nine thousand, four hundred fifty-six".

Divisors: 1 2 3 4 6 8 12 16 19 24 32 38 48 57 64 76 96 114 128 152 192 228 256 304 384 456 608 768 912 1216 1824 2432 3648 4864 7296 14592 17293 34586 51879 69172 103758 138344 207516 276688 328567 415032 553376 657134 830064 985701 1106752 1314268 1660128 1971402 2213504 2628536 3320256 3942804 4427008 5257072 6640512 7885608 10514144 13281024 15771216 21028288 31542432 42056576 63084864 84113152 126169728 252339456