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264007008 = 25321753923
BaseRepresentation
bin11111011110001…
…10110101100000
3200101202221112100
433233012311200
51020041211013
642110330400
76354010506
oct1757066540
9611687470
10264007008
11126030411
12744b9a00
1342908085
14270c4676
151829e473
hexfbc6d60

264007008 has 72 divisors (see below), whose sum is σ = 794947608. Its totient is φ = 82824192.

The previous prime is 264006997. The next prime is 264007013. The reversal of 264007008 is 800700462.

264007008 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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

It is a super-2 number, since 2×2640070082 = 139399400546224128, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 22066 + ... + 31857.

It is an arithmetic number, because the mean of its divisors is an integer number (11040939).

Almost surely, 2264007008 is an apocalyptic number.

It is an amenable number.

264007008 is an abundant number, since it is smaller than the sum of its proper divisors (530940600).

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

264007008 is a wasteful number, since it uses less digits than its factorization.

264007008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53956 (or 53945 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 264007008 is about 16248.2924641330. The cubic root of 264007008 is about 641.5125423127.

The spelling of 264007008 in words is "two hundred sixty-four million, seven thousand, eight".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 32 34 36 48 51 68 72 96 102 136 144 153 204 272 288 306 408 544 612 816 1224 1632 2448 4896 53923 107846 161769 215692 323538 431384 485307 647076 862768 916691 970614 1294152 1725536 1833382 1941228 2588304 2750073 3666764 3882456 5176608 5500146 7333528 7764912 8250219 11000292 14667056 15529824 16500438 22000584 29334112 33000876 44001168 66001752 88002336 132003504 264007008