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87248861 = 7241137317
BaseRepresentation
bin1010011001101…
…00111111011101
320002011200221022
411030310333131
5134313430421
612354013525
72106413600
oct514647735
9202150838
1087248861
11452823a7
12252772a5
13150ca95b
14b832337
1579d67ab
hex5334fdd

87248861 has 24 divisors (see below), whose sum is σ = 105058296. Its totient is φ = 72199680.

The previous prime is 87248839. The next prime is 87248869. The reversal of 87248861 is 16884278.

It can be written as a sum of positive squares in 4 ways, for example, as 1223236 + 86025625 = 1106^2 + 9275^2 .

It is not a de Polignac number, because 87248861 - 226 = 20139997 is a prime.

It is a super-2 number, since 2×872488612 = 15224727491594642, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (87248869) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 275075 + ... + 275391.

It is an arithmetic number, because the mean of its divisors is an integer number (4377429).

Almost surely, 287248861 is an apocalyptic number.

It is an amenable number.

87248861 is a deficient number, since it is larger than the sum of its proper divisors (17809435).

87248861 is a wasteful number, since it uses less digits than its factorization.

87248861 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 509 (or 502 counting only the distinct ones).

The product of its digits is 172032, while the sum is 44.

The square root of 87248861 is about 9340.7098766636. The cubic root of 87248861 is about 443.5268561087.

The spelling of 87248861 in words is "eighty-seven million, two hundred forty-eight thousand, eight hundred sixty-one".

Divisors: 1 7 41 49 137 287 317 959 2009 2219 5617 6713 12997 15533 39319 43429 90979 275233 304003 636853 1780589 2128021 12464123 87248861