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264619968 = 26323311933
BaseRepresentation
bin11111100010111…
…00011111000000
3200102221002100120
433301130133000
51020220314333
642131420240
76362142534
oct1761343700
9612832316
10264619968
11126409998
1274754680
1342a91082
1427203bc4
1518370db3
hexfc5c7c0

264619968 has 112 divisors (see below), whose sum is σ = 754538496. Its totient is φ = 81607680.

The previous prime is 264619961. The next prime is 264619987. The reversal of 264619968 is 869916462.

It is a self number, because there is not a number n which added to its sum of digits gives 264619968.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (264619961) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 135930 + ... + 137862.

Almost surely, 2264619968 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 264619968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (377269248).

264619968 is an abundant number, since it is smaller than the sum of its proper divisors (489918528).

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

264619968 is a wasteful number, since it uses less digits than its factorization.

264619968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2002 (or 1992 counting only the distinct ones).

The product of its digits is 1119744, while the sum is 51.

The square root of 264619968 is about 16267.1438181385. The cubic root of 264619968 is about 642.0086372223.

The spelling of 264619968 in words is "two hundred sixty-four million, six hundred nineteen thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 16 23 24 31 32 46 48 62 64 69 92 93 96 124 138 184 186 192 248 276 368 372 496 552 713 736 744 992 1104 1426 1472 1488 1933 1984 2139 2208 2852 2976 3866 4278 4416 5704 5799 5952 7732 8556 11408 11598 15464 17112 22816 23196 30928 34224 44459 45632 46392 59923 61856 68448 88918 92784 119846 123712 133377 136896 177836 179769 185568 239692 266754 355672 359538 371136 479384 533508 711344 719076 958768 1067016 1378229 1422688 1438152 1917536 2134032 2756458 2845376 2876304 3835072 4134687 4268064 5512916 5752608 8269374 8536128 11025832 11505216 16538748 22051664 33077496 44103328 66154992 88206656 132309984 264619968