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825494796 = 223277014673
BaseRepresentation
bin110001001101000…
…000110100001100
32010112022110222100
4301031000310030
53142311313141
6213525115100
726312406240
oct6115006414
92115273870
10825494796
11393a74505
121b0558a90
1310203b379
147b8c4420
154c7110b6
hex31340d0c

825494796 has 72 divisors (see below), whose sum is σ = 2388675744. Its totient is φ = 235468800.

The previous prime is 825494749. The next prime is 825494801. The reversal of 825494796 is 697494528.

825494796 is a `hidden beast` number, since 8 + 2 + 549 + 4 + 7 + 96 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 174316 + ... + 178988.

It is an arithmetic number, because the mean of its divisors is an integer number (33176052).

Almost surely, 2825494796 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 825494796, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1194337872).

825494796 is an abundant number, since it is smaller than the sum of its proper divisors (1563180948).

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

825494796 is a wasteful number, since it uses less digits than its factorization.

825494796 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5391 (or 5386 counting only the distinct ones).

The product of its digits is 4354560, while the sum is 54.

The square root of 825494796 is about 28731.4252344014. The cubic root of 825494796 is about 938.0761906521.

The spelling of 825494796 in words is "eight hundred twenty-five million, four hundred ninety-four thousand, seven hundred ninety-six".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 126 252 701 1402 2103 2804 4206 4673 4907 6309 8412 9346 9814 12618 14019 14721 18692 19628 25236 28038 29442 32711 42057 44163 56076 58884 65422 84114 88326 98133 130844 168228 176652 196266 294399 392532 588798 1177596 3275773 6551546 9827319 13103092 19654638 22930411 29481957 39309276 45860822 58963914 68791233 91721644 117927828 137582466 206373699 275164932 412747398 825494796