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264396272 = 24731271281
BaseRepresentation
bin11111100001001…
…01110111110000
3200102111201111112
433300211313300
51020141140042
642122532452
76360221420
oct1760456760
9612451445
10264396272
11126276918
1274667128
1342a132ca
1427186480
1518329982
hexfc25df0

264396272 has 80 divisors (see below), whose sum is σ = 608722944. Its totient is φ = 108864000.

The previous prime is 264396263. The next prime is 264396281. The reversal of 264396272 is 272693462.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (264396263) and next prime (264396281).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 940772 + ... + 941052.

Almost surely, 2264396272 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 264396272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (304361472).

264396272 is an abundant number, since it is smaller than the sum of its proper divisors (344326672).

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

264396272 is a wasteful number, since it uses less digits than its factorization.

264396272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 598 (or 592 counting only the distinct ones).

The product of its digits is 217728, while the sum is 41.

The square root of 264396272 is about 16260.2666644800. The cubic root of 264396272 is about 641.8276792843.

The spelling of 264396272 in words is "two hundred sixty-four million, three hundred ninety-six thousand, two hundred seventy-two".

Divisors: 1 2 4 7 8 14 16 28 31 56 62 112 124 217 248 271 281 434 496 542 562 868 1084 1124 1736 1897 1967 2168 2248 3472 3794 3934 4336 4496 7588 7868 8401 8711 15176 15736 16802 17422 30352 31472 33604 34844 58807 60977 67208 69688 76151 117614 121954 134416 139376 152302 235228 243908 304604 470456 487816 533057 609208 940912 975632 1066114 1218416 2132228 2360681 4264456 4721362 8528912 9442724 16524767 18885448 33049534 37770896 66099068 132198136 264396272