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827428688 = 2431253813
BaseRepresentation
bin110001010100011…
…000111101010000
32010122221201202222
4301110120331100
53143310204223
6214034400212
726335012352
oct6124307520
92118851688
10827428688
11395075469
121b1130068
13102567698
147bc690d2
154c9940c8
hex31518f50

827428688 has 30 divisors (see below), whose sum is σ = 1656556362. Its totient is φ = 400361280.

The previous prime is 827428687. The next prime is 827428697. The reversal of 827428688 is 886824728.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 724040464 + 103388224 = 26908^2 + 10168^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (827428687) 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 5 ways as a sum of consecutive naturals, for example, 11531 + ... + 42282.

Almost surely, 2827428688 is an apocalyptic number.

It is an amenable number.

827428688 is an abundant number, since it is smaller than the sum of its proper divisors (829127674).

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

827428688 is a wasteful number, since it uses less digits than its factorization.

827428688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53883 (or 53846 counting only the distinct ones).

The product of its digits is 2752512, while the sum is 53.

The square root of 827428688 is about 28765.0601946181. The cubic root of 827428688 is about 938.8081650695.

The spelling of 827428688 in words is "eight hundred twenty-seven million, four hundred twenty-eight thousand, six hundred eighty-eight".

Divisors: 1 2 4 8 16 31 62 124 248 496 961 1922 3844 7688 15376 53813 107626 215252 430504 861008 1668203 3336406 6672812 13345624 26691248 51714293 103428586 206857172 413714344 827428688