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107687552 = 277313877
BaseRepresentation
bin1100110101100…
…10111010000000
321111122002112212
412122302322000
5210032000202
614404041252
72445220610
oct632627200
9244562485
10107687552
1155872285
1230093228
131940595b
1410432a40
1596c2652
hex66b2e80

107687552 has 64 divisors (see below), whose sum is σ = 253155840. Its totient is φ = 44651520.

The previous prime is 107687551. The next prime is 107687561. The reversal of 107687552 is 255786701.

It is a tau number, because it is divible by the number of its divisors (64).

It is not an unprimeable number, because it can be changed into a prime (107687551) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 25838 + ... + 29714.

It is an arithmetic number, because the mean of its divisors is an integer number (3955560).

Almost surely, 2107687552 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 107687552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126577920).

107687552 is an abundant number, since it is smaller than the sum of its proper divisors (145468288).

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

107687552 is an equidigital number, since it uses as much as digits as its factorization.

107687552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3929 (or 3917 counting only the distinct ones).

The product of its (nonzero) digits is 117600, while the sum is 41.

The square root of 107687552 is about 10377.2612957369. The cubic root of 107687552 is about 475.7606310066.

The spelling of 107687552 in words is "one hundred seven million, six hundred eighty-seven thousand, five hundred fifty-two".

Divisors: 1 2 4 7 8 14 16 28 31 32 56 62 64 112 124 128 217 224 248 434 448 496 868 896 992 1736 1984 3472 3877 3968 6944 7754 13888 15508 27139 27776 31016 54278 62032 108556 120187 124064 217112 240374 248128 434224 480748 496256 841309 868448 961496 1682618 1736896 1922992 3365236 3473792 3845984 6730472 7691968 13460944 15383936 26921888 53843776 107687552