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87047077 = 1329322853
BaseRepresentation
bin1010011000000…
…11101110100101
320001210110010211
411030003232211
5134241001302
612345415421
72104613365
oct514035645
9201713124
1087047077
1145154837
122519a571
1315059b60
14b7bc9a5
157996ad7
hex5303ba5

87047077 has 8 divisors (see below), whose sum is σ = 94067064. Its totient is φ = 80073408.

The previous prime is 87047071. The next prime is 87047083. The reversal of 87047077 is 77074078.

It is an interprime number because it is at equal distance from previous prime (87047071) and next prime (87047083).

It can be written as a sum of positive squares in 4 ways, for example, as 7230721 + 79816356 = 2689^2 + 8934^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-87047077 is a prime.

It is a super-3 number, since 3×870470773 (a number of 25 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (87047071) 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 7 ways as a sum of consecutive naturals, for example, 7618 + ... + 15235.

It is an arithmetic number, because the mean of its divisors is an integer number (11758383).

Almost surely, 287047077 is an apocalyptic number.

87047077 is the 7618-th pentagonal number.

It is an amenable number.

87047077 is a deficient number, since it is larger than the sum of its proper divisors (7019987).

87047077 is a wasteful number, since it uses less digits than its factorization.

87047077 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23159.

The product of its (nonzero) digits is 76832, while the sum is 40.

The square root of 87047077 is about 9329.9023038829. The cubic root of 87047077 is about 443.1846712937.

The spelling of 87047077 in words is "eighty-seven million, forty-seven thousand, seventy-seven".

Divisors: 1 13 293 3809 22853 297089 6695929 87047077