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87682413 = 37213172699
BaseRepresentation
bin1010011100111…
…10110101101101
320002222201122210
411032132311231
5134421314123
612411201033
72113200600
oct516366555
9202881583
1087682413
1145549105
1225446179
13152200b0
14b906337
157a6ee93
hex539ed6d

87682413 has 48 divisors (see below), whose sum is σ = 155131200. Its totient is φ = 43513344.

The previous prime is 87682393. The next prime is 87682421. The reversal of 87682413 is 31428678.

It is not a de Polignac number, because 87682413 - 25 = 87682381 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (87682453) 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 47 ways as a sum of consecutive naturals, for example, 31138 + ... + 33836.

It is an arithmetic number, because the mean of its divisors is an integer number (3231900).

Almost surely, 287682413 is an apocalyptic number.

It is an amenable number.

87682413 is a deficient number, since it is larger than the sum of its proper divisors (67448787).

87682413 is a wasteful number, since it uses less digits than its factorization.

87682413 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2746 (or 2739 counting only the distinct ones).

The product of its digits is 64512, while the sum is 39.

The square root of 87682413 is about 9363.8887755035. Note that the first 3 decimals coincide. The cubic root of 87682413 is about 444.2602919420.

The spelling of 87682413 in words is "eighty-seven million, six hundred eighty-two thousand, four hundred thirteen".

Divisors: 1 3 7 13 17 21 39 49 51 91 119 147 221 273 357 637 663 833 1547 1911 2499 2699 4641 8097 10829 18893 32487 35087 45883 56679 105261 132251 137649 245609 321181 396753 596479 736827 963543 1719263 1789437 2248267 4175353 5157789 6744801 12526059 29227471 87682413