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84642656 = 2571792111
BaseRepresentation
bin1010000101110…
…00101101100000
312220021021220012
411002320231200
5133132031111
612222104052
72045310410
oct502705540
9186237805
1084642656
114386230a
122441b028
13146c7617
14b354640
15766e48b
hex50b8b60

84642656 has 48 divisors (see below), whose sum is σ = 191600640. Its totient is φ = 36055680.

The previous prime is 84642611. The next prime is 84642661. The reversal of 84642656 is 65624648.

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 39041 + ... + 41151.

It is an arithmetic number, because the mean of its divisors is an integer number (3991680).

Almost surely, 284642656 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 84642656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95800320).

84642656 is an abundant number, since it is smaller than the sum of its proper divisors (106957984).

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

84642656 is a wasteful number, since it uses less digits than its factorization.

84642656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2307 (or 2299 counting only the distinct ones).

The product of its digits is 276480, while the sum is 41.

The square root of 84642656 is about 9200.1443466937. The cubic root of 84642656 is about 439.0659524583.

The spelling of 84642656 in words is "eighty-four million, six hundred forty-two thousand, six hundred fifty-six".

Divisors: 1 2 4 7 8 14 16 28 32 56 112 179 224 358 716 1253 1432 2111 2506 2864 4222 5012 5728 8444 10024 14777 16888 20048 29554 33776 40096 59108 67552 118216 236432 377869 472864 755738 1511476 2645083 3022952 5290166 6045904 10580332 12091808 21160664 42321328 84642656