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87812413 = 132321132
BaseRepresentation
bin1010011101111…
…10100100111101
320010020022222121
411032332210331
5134434444123
612414042541
72114251603
oct516764475
9203208877
1087812413
1145627847
12254a9451
1315267310
14b93b873
157a9875d
hex53be93d

87812413 has 18 divisors (see below), whose sum is σ = 99740186. Its totient is φ = 76847232.

The previous prime is 87812399. The next prime is 87812419. The reversal of 87812413 is 31421878.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 16949689 + 70862724 = 4117^2 + 8418^2 .

It is not a de Polignac number, because 87812413 - 25 = 87812381 is a prime.

It is a super-2 number, since 2×878124132 = 15422039753765138, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (87812419) 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 17 ways as a sum of consecutive naturals, for example, 777045 + ... + 777157.

Almost surely, 287812413 is an apocalyptic number.

It is an amenable number.

87812413 is a deficient number, since it is larger than the sum of its proper divisors (11927773).

87812413 is a wasteful number, since it uses less digits than its factorization.

87812413 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 285 (or 149 counting only the distinct ones).

The product of its digits is 10752, while the sum is 34.

The square root of 87812413 is about 9370.8277649309. The cubic root of 87812413 is about 444.4797404307.

The spelling of 87812413 in words is "eighty-seven million, eight hundred twelve thousand, four hundred thirteen".

Divisors: 1 13 23 113 299 529 1469 2599 6877 12769 33787 59777 165997 293687 777101 3817931 6754801 87812413