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810052704 = 25331138297
BaseRepresentation
bin110000010010000…
…110110001100000
32002110020221102000
4300102012301200
53124333141304
6212214124000
726034222456
oct6022066140
92073227360
10810052704
1138628764a
121a7350600
13cba92736
14798249d6
154b1b0939
hex30486c60

810052704 has 96 divisors (see below), whose sum is σ = 2383849440. Its totient is φ = 267595776.

The previous prime is 810052687. The next prime is 810052717. The reversal of 810052704 is 407250018.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 93484 + ... + 101780.

It is an arithmetic number, because the mean of its divisors is an integer number (24831765).

Almost surely, 2810052704 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 810052704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1191924720).

810052704 is an abundant number, since it is smaller than the sum of its proper divisors (1573796736).

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

810052704 is a wasteful number, since it uses less digits than its factorization.

810052704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8429 (or 8415 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 27.

The square root of 810052704 is about 28461.4248413533. The cubic root of 810052704 is about 932.1899690738.

The spelling of 810052704 in words is "eight hundred ten million, fifty-two thousand, seven hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 96 108 113 144 216 226 288 339 432 452 678 864 904 1017 1356 1808 2034 2712 3051 3616 4068 5424 6102 8136 8297 10848 12204 16272 16594 24408 24891 32544 33188 48816 49782 66376 74673 97632 99564 132752 149346 199128 224019 265504 298692 398256 448038 597384 796512 896076 937561 1194768 1792152 1875122 2389536 2812683 3584304 3750244 5625366 7168608 7500488 8438049 11250732 15000976 16876098 22501464 25314147 30001952 33752196 45002928 50628294 67504392 90005856 101256588 135008784 202513176 270017568 405026352 810052704