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810725004 = 223325729209
BaseRepresentation
bin110000010100101…
…010111010001100
32002111112002122000
4300110222322030
53130021200004
6212240352300
726043022515
oct6024527214
92074462560
10810725004
113866a6771
121a7615690
13cbc6974b
147995ba0c
154b294c39
hex3052ae8c

810725004 has 48 divisors (see below), whose sum is σ = 2110130400. Its totient is φ = 269180928.

The previous prime is 810724979. The next prime is 810725009. The reversal of 810725004 is 400527018.

It is a super-2 number, since 2×8107250042 = 1314550064221600032, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (810725009) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 13152 + ... + 42360.

It is an arithmetic number, because the mean of its divisors is an integer number (43961050).

Almost surely, 2810725004 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 810725004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1055065200).

810725004 is an abundant number, since it is smaller than the sum of its proper divisors (1299405396).

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

810725004 is a wasteful number, since it uses less digits than its factorization.

810725004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29479 (or 29471 counting only the distinct ones).

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

The square root of 810725004 is about 28473.2331146289. The cubic root of 810725004 is about 932.4477868735.

The spelling of 810725004 in words is "eight hundred ten million, seven hundred twenty-five thousand, four".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 108 257 514 771 1028 1542 2313 3084 4626 6939 9252 13878 27756 29209 58418 87627 116836 175254 262881 350508 525762 788643 1051524 1577286 3154572 7506713 15013426 22520139 30026852 45040278 67560417 90080556 135120834 202681251 270241668 405362502 810725004