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682114464 = 25328292857
BaseRepresentation
bin101000101010000…
…011110110100000
31202112112000010200
4220222003312200
52344110130324
6151404025200
722621606623
oct5052036640
91675460120
10682114464
11320043769
12170532200
13ab419535
146683ddba
153ed3cec9
hex28a83da0

682114464 has 72 divisors (see below), whose sum is σ = 1942782660. Its totient is φ = 227017728.

The previous prime is 682114457. The next prime is 682114487. The reversal of 682114464 is 464411286.

It is a happy number.

682114464 is a `hidden beast` number, since 6 + 82 + 114 + 464 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 671224464 + 10890000 = 25908^2 + 3300^2 .

It is a tau number, because it is divible by the number of its divisors (72).

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

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 237324 + ... + 240180.

Almost surely, 2682114464 is an apocalyptic number.

It is an amenable number.

682114464 is an abundant number, since it is smaller than the sum of its proper divisors (1260668196).

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

682114464 is a wasteful number, since it uses less digits than its factorization.

682114464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3702 (or 3691 counting only the distinct ones).

The product of its digits is 36864, while the sum is 36.

The square root of 682114464 is about 26117.3211489999. The cubic root of 682114464 is about 880.2764558408.

The spelling of 682114464 in words is "six hundred eighty-two million, one hundred fourteen thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 829 1658 2487 2857 3316 4974 5714 6632 7461 8571 9948 11428 13264 14922 17142 19896 22856 25713 26528 29844 34284 39792 45712 51426 59688 68568 79584 91424 102852 119376 137136 205704 238752 274272 411408 822816 2368453 4736906 7105359 9473812 14210718 18947624 21316077 28421436 37895248 42632154 56842872 75790496 85264308 113685744 170528616 227371488 341057232 682114464