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813939072 = 27313191607
BaseRepresentation
bin110000100000111…
…011100110000000
32002201120101111120
4300200323212000
53131332022242
6212433312240
726112240132
oct6040734600
92081511446
10813939072
113884a1521
121a8705680
13cc82366b
147a157052
154b6cc1ec
hex3083b980

813939072 has 64 divisors (see below), whose sum is σ = 2165011200. Its totient is φ = 270938624.

The previous prime is 813939059. The next prime is 813939109. The reversal of 813939072 is 270939318.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 505693 + ... + 507299.

It is an arithmetic number, because the mean of its divisors is an integer number (33828300).

Almost surely, 2813939072 is an apocalyptic number.

It is an amenable number.

813939072 is an abundant number, since it is smaller than the sum of its proper divisors (1351072128).

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

813939072 is a wasteful number, since it uses less digits than its factorization.

813939072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2943 (or 2931 counting only the distinct ones).

The product of its (nonzero) digits is 81648, while the sum is 42.

The square root of 813939072 is about 28529.6174527455. The cubic root of 813939072 is about 933.6783722020.

The spelling of 813939072 in words is "eight hundred thirteen million, nine hundred thirty-nine thousand, seventy-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 384 1319 1607 2638 3214 3957 4821 5276 6428 7914 9642 10552 12856 15828 19284 21104 25712 31656 38568 42208 51424 63312 77136 84416 102848 126624 154272 168832 205696 253248 308544 506496 617088 2119633 4239266 6358899 8478532 12717798 16957064 25435596 33914128 50871192 67828256 101742384 135656512 203484768 271313024 406969536 813939072