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87306048 = 2632151573
BaseRepresentation
bin1010011010000…
…10111101000000
320002021121101100
411031002331000
5134322243143
612355134400
72110042404
oct515027500
9202247340
1087306048
1145311365
12252a4400
131511a9ab
14b849104
1579e86d3
hex5342f40

87306048 has 42 divisors (see below), whose sum is σ = 250248674. Its totient is φ = 29101824.

The previous prime is 87306041. The next prime is 87306049. The reversal of 87306048 is 84060378.

It can be written as a sum of positive squares in only one way, i.e., 73822464 + 13483584 = 8592^2 + 3672^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (87306041) 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 5 ways as a sum of consecutive naturals, for example, 75211 + ... + 76362.

Almost surely, 287306048 is an apocalyptic number.

It is an amenable number.

87306048 is an abundant number, since it is smaller than the sum of its proper divisors (162942626).

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

87306048 is a wasteful number, since it uses less digits than its factorization.

87306048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 151591 (or 151578 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 87306048 is about 9343.7705451279. The cubic root of 87306048 is about 443.6237377202.

The spelling of 87306048 in words is "eighty-seven million, three hundred six thousand, forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 144 192 288 576 151573 303146 454719 606292 909438 1212584 1364157 1818876 2425168 2728314 3637752 4850336 5456628 7275504 9700672 10913256 14551008 21826512 29102016 43653024 87306048