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825304104 = 233211462557
BaseRepresentation
bin110001001100010…
…010010000101000
32010111221210101200
4301030102100220
53142234212404
6213521044200
726310653262
oct6114222050
92114853350
10825304104
11393954209
121b0486660
13101ca2631
147b874b32
154c6c4839
hex31312428

825304104 has 24 divisors (see below), whose sum is σ = 2235198810. Its totient is φ = 275101344.

The previous prime is 825304099. The next prime is 825304157. The reversal of 825304104 is 401403528.

It can be written as a sum of positive squares in only one way, i.e., 800324100 + 24980004 = 28290^2 + 4998^2 .

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

It is a super-2 number, since 2×8253041042 = 1362253728158485632, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 5731207 + ... + 5731350.

Almost surely, 2825304104 is an apocalyptic number.

It is an amenable number.

825304104 is an abundant number, since it is smaller than the sum of its proper divisors (1409894706).

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

825304104 is a wasteful number, since it uses less digits than its factorization.

825304104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11462569 (or 11462562 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 825304104 is about 28728.1065160933. The cubic root of 825304104 is about 938.0039521991.

The spelling of 825304104 in words is "eight hundred twenty-five million, three hundred four thousand, one hundred four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 11462557 22925114 34387671 45850228 68775342 91700456 103163013 137550684 206326026 275101368 412652052 825304104