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810204972 = 2231714232791
BaseRepresentation
bin110000010010101…
…011111100101100
32002110112200021120
4300102223330230
53124403024342
6212221300540
726035425423
oct6022537454
92073480246
10810204972
11386380a95
121a7404750
13cbb16b35
14798642ba
154b1e0aec
hex304abf2c

810204972 has 48 divisors (see below), whose sum is σ = 2003807232. Its totient is φ = 253912320.

The previous prime is 810204971. The next prime is 810204979. The reversal of 810204972 is 279402018.

It is a happy number.

810204972 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (810204971) 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, 288897 + ... + 291687.

It is an arithmetic number, because the mean of its divisors is an integer number (41745984).

Almost surely, 2810204972 is an apocalyptic number.

It is an amenable number.

810204972 is an abundant number, since it is smaller than the sum of its proper divisors (1193602260).

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

810204972 is a wasteful number, since it uses less digits than its factorization.

810204972 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4238 (or 4236 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 33.

The square root of 810204972 is about 28464.0997047158. The cubic root of 810204972 is about 932.2483742487.

The spelling of 810204972 in words is "eight hundred ten million, two hundred four thousand, nine hundred seventy-two".

Divisors: 1 2 3 4 6 12 17 34 51 68 102 204 1423 2791 2846 4269 5582 5692 8373 8538 11164 16746 17076 24191 33492 47447 48382 72573 94894 96764 142341 145146 189788 284682 290292 569364 3971593 7943186 11914779 15886372 23829558 47659116 67517081 135034162 202551243 270068324 405102486 810204972