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682520832 = 28327101419
BaseRepresentation
bin101000101011100…
…111000100000000
31202120021122120100
4220223213010000
52344211131312
6151420442400
722625221440
oct5053470400
91676248510
10682520832
113202a1004
121706a9400
13ab52c4a6
1466908120
153edbd5dc
hex28ae7100

682520832 has 216 divisors, whose sum is σ = 2276688960. Its totient is φ = 192614400.

The previous prime is 682520827. The next prime is 682520843. The reversal of 682520832 is 238025286.

It is a super-2 number, since 2×6825208322 = 931669372227944448, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 1628719 + ... + 1629137.

Almost surely, 2682520832 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 682520832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1138344480).

682520832 is an abundant number, since it is smaller than the sum of its proper divisors (1594168128).

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

682520832 is a wasteful number, since it uses less digits than its factorization.

682520832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 549 (or 532 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 682520832 is about 26125.0996553123. The cubic root of 682520832 is about 880.4512286436.

The spelling of 682520832 in words is "six hundred eighty-two million, five hundred twenty thousand, eight hundred thirty-two".