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825799248 = 24329296173
BaseRepresentation
bin110001001110001…
…011001001010000
32010112212221121100
4301032023021100
53142401033443
6213535424400
726315114661
oct6116131120
92115787540
10825799248
1139416221a
121b0685100
13102116b11
147b963368
154c7713d3
hex3138b250

825799248 has 60 divisors (see below), whose sum is σ = 2313953460. Its totient is φ = 274925568.

The previous prime is 825799243. The next prime is 825799277. The reversal of 825799248 is 842997528.

It can be written as a sum of positive squares in 2 ways, for example, as 10810944 + 814988304 = 3288^2 + 28548^2 .

It is a junction number, because it is equal to n+sod(n) for n = 825799194 and 825799203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (825799243) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 130690 + ... + 136862.

It is an arithmetic number, because the mean of its divisors is an integer number (38565891).

Almost surely, 2825799248 is an apocalyptic number.

It is an amenable number.

825799248 is an abundant number, since it is smaller than the sum of its proper divisors (1488154212).

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

825799248 is a wasteful number, since it uses less digits than its factorization.

825799248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7116 (or 7107 counting only the distinct ones).

The product of its digits is 2903040, while the sum is 54.

The square root of 825799248 is about 28736.7229864506. The cubic root of 825799248 is about 938.1915009162.

The spelling of 825799248 in words is "eight hundred twenty-five million, seven hundred ninety-nine thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 929 1858 2787 3716 5574 6173 7432 8361 11148 12346 14864 16722 18519 22296 24692 33444 37038 44592 49384 55557 66888 74076 98768 111114 133776 148152 222228 296304 444456 888912 5734717 11469434 17204151 22938868 34408302 45877736 51612453 68816604 91755472 103224906 137633208 206449812 275266416 412899624 825799248