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87606688 = 25131971069
BaseRepresentation
bin1010011100011…
…00010110100000
320002211212210011
411032030112200
5134411403223
612405414304
72112434041
oct516142640
9202755704
1087606688
11454a7224
122540a394
13151c47a0
14b8c68c8
157a5780d
hex538c5a0

87606688 has 48 divisors (see below), whose sum is σ = 186860520. Its totient is φ = 40190976.

The previous prime is 87606683. The next prime is 87606691. The reversal of 87606688 is 88660678.

It can be written as a sum of positive squares in 4 ways, for example, as 80784144 + 6822544 = 8988^2 + 2612^2 .

It is not an unprimeable number, because it can be changed into a prime (87606683) by changing a digit.

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, 81418 + ... + 82486.

Almost surely, 287606688 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 87606688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93430260).

87606688 is an abundant number, since it is smaller than the sum of its proper divisors (99253832).

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

87606688 is a wasteful number, since it uses less digits than its factorization.

87606688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1289 (or 1281 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 49.

The square root of 87606688 is about 9359.8444431518. The cubic root of 87606688 is about 444.1323632095.

The spelling of 87606688 in words is "eighty-seven million, six hundred six thousand, six hundred eighty-eight".

Divisors: 1 2 4 8 13 16 26 32 52 104 197 208 394 416 788 1069 1576 2138 2561 3152 4276 5122 6304 8552 10244 13897 17104 20488 27794 34208 40976 55588 81952 111176 210593 222352 421186 444704 842372 1684744 2737709 3369488 5475418 6738976 10950836 21901672 43803344 87606688