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811054272 = 2637286209
BaseRepresentation
bin110000010101111…
…011010011000000
32002112010211022010
4300111323103000
53130112214042
6212251412520
726045563500
oct6025732300
92075124263
10811054272
11386901096
121a7754140
13cc053592
1479a05a00
154b30c59c
hex3057b4c0

811054272 has 84 divisors (see below), whose sum is σ = 2496296760. Its totient is φ = 231727104.

The previous prime is 811054243. The next prime is 811054301. The reversal of 811054272 is 272450118.

It is an interprime number because it is at equal distance from previous prime (811054243) and next prime (811054301).

It is a tau number, because it is divible by the number of its divisors (84).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 33697 + ... + 52512.

Almost surely, 2811054272 is an apocalyptic number.

It is an amenable number.

811054272 is an abundant number, since it is smaller than the sum of its proper divisors (1685242488).

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

811054272 is a wasteful number, since it uses less digits than its factorization.

811054272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86238 (or 86221 counting only the distinct ones).

The product of its (nonzero) digits is 4480, while the sum is 30.

The square root of 811054272 is about 28479.0145896939. The cubic root of 811054272 is about 932.5740046254.

The spelling of 811054272 in words is "eight hundred eleven million, fifty-four thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 49 56 64 84 96 98 112 147 168 192 196 224 294 336 392 448 588 672 784 1176 1344 1568 2352 3136 4704 9408 86209 172418 258627 344836 517254 603463 689672 1034508 1206926 1379344 1810389 2069016 2413852 2758688 3620778 4138032 4224241 4827704 5517376 7241556 8276064 8448482 9655408 12672723 14483112 16552128 16896964 19310816 25345446 28966224 33793928 38621632 50690892 57932448 67587856 101381784 115864896 135175712 202763568 270351424 405527136 811054272