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825820896 = 2538602301
BaseRepresentation
bin110001001110010…
…000011011100000
32010112221001022010
4301032100123200
53142402232041
6213540112520
726315235045
oct6116203340
92115831263
10825820896
1139417750a
121b0695740
13102123924
147b96b1cc
154c777a16
hex313906e0

825820896 has 24 divisors (see below), whose sum is σ = 2167780104. Its totient is φ = 275273600.

The previous prime is 825820889. The next prime is 825820903. The reversal of 825820896 is 698028528.

It is an interprime number because it is at equal distance from previous prime (825820889) and next prime (825820903).

It is a tau number, because it is divible by the number of its divisors (24).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 4301055 + ... + 4301246.

It is an arithmetic number, because the mean of its divisors is an integer number (90324171).

Almost surely, 2825820896 is an apocalyptic number.

It is an amenable number.

825820896 is an abundant number, since it is smaller than the sum of its proper divisors (1341959208).

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

825820896 is a wasteful number, since it uses less digits than its factorization.

825820896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8602314 (or 8602306 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 48.

The square root of 825820896 is about 28737.0996448841. The cubic root of 825820896 is about 938.1996989507.

The spelling of 825820896 in words is "eight hundred twenty-five million, eight hundred twenty thousand, eight hundred ninety-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 8602301 17204602 25806903 34409204 51613806 68818408 103227612 137636816 206455224 275273632 412910448 825820896