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87463728 = 24321155217
BaseRepresentation
bin1010011011010…
…01011100110000
320002120121200100
411031221130300
5134342314403
612402352400
72111300202
oct515513460
9202517610
1087463728
1145409880
122535b700
13151746b1
14b88a772
157a2a2a3
hex5369730

87463728 has 60 divisors (see below), whose sum is σ = 267034248. Its totient is φ = 26503680.

The previous prime is 87463721. The next prime is 87463729. The reversal of 87463728 is 82736478.

It is a happy number.

87463728 is a `hidden beast` number, since 8 + 7 + 4 + 637 + 2 + 8 = 666.

It is not an unprimeable number, because it can be changed into a prime (87463721) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 26025 + ... + 29192.

Almost surely, 287463728 is an apocalyptic number.

87463728 is a gapful number since it is divisible by the number (88) formed by its first and last digit.

It is an amenable number.

87463728 is an abundant number, since it is smaller than the sum of its proper divisors (179570520).

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

87463728 is a wasteful number, since it uses less digits than its factorization.

87463728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55242 (or 55233 counting only the distinct ones).

The product of its digits is 451584, while the sum is 45.

The square root of 87463728 is about 9352.2044460116. The cubic root of 87463728 is about 443.8906475281.

The spelling of 87463728 in words is "eighty-seven million, four hundred sixty-three thousand, seven hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 33 36 44 48 66 72 88 99 132 144 176 198 264 396 528 792 1584 55217 110434 165651 220868 331302 441736 496953 607387 662604 883472 993906 1214774 1325208 1822161 1987812 2429548 2650416 3644322 3975624 4859096 5466483 7288644 7951248 9718192 10932966 14577288 21865932 29154576 43731864 87463728