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1064026272 = 25326941203
BaseRepresentation
bin111111011010111…
…100000010100000
32202011011010122110
4333122330002200
54134342320042
6253325435320
735240034261
oct7732740240
92664133573
101064026272
114a6684761
1225840bb40
1313c59695a
14a1456968
156362c09c
hex3f6bc0a0

1064026272 has 48 divisors (see below), whose sum is σ = 2803520160. Its totient is φ = 353348352.

The previous prime is 1064026267. The next prime is 1064026289. The reversal of 1064026272 is 2726204601.

1064026272 is digitally balanced in base 2, 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 (48).

It is a super-2 number, since 2×10640262722 = 2264303815012435968, which contains 22 as substring.

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, 5223 + ... + 46425.

It is an arithmetic number, because the mean of its divisors is an integer number (58406670).

Almost surely, 21064026272 is an apocalyptic number.

1064026272 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1064026272 is an abundant number, since it is smaller than the sum of its proper divisors (1739493888).

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

1064026272 is a wasteful number, since it uses less digits than its factorization.

1064026272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41485 (or 41477 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 30.

The square root of 1064026272 is about 32619.4155680325. The cubic root of 1064026272 is about 1020.9021468751.

The spelling of 1064026272 in words is "one billion, sixty-four million, twenty-six thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 269 538 807 1076 1614 2152 3228 4304 6456 8608 12912 25824 41203 82406 123609 164812 247218 329624 494436 659248 988872 1318496 1977744 3955488 11083607 22167214 33250821 44334428 66501642 88668856 133003284 177337712 266006568 354675424 532013136 1064026272