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87825413 = 1321313967
BaseRepresentation
bin1010011110000…
…01110000000101
320010020222211002
411033001300011
5134440403123
612414223045
72114334524
oct517016005
9203228732
1087825413
1145636595
12254b4a85
1315270200
14b9424bb
157a9c528
hex53c1c05

87825413 has 12 divisors (see below), whose sum is σ = 95851008. Its totient is φ = 80430480.

The previous prime is 87825407. The next prime is 87825433. The reversal of 87825413 is 31452878.

It is a de Polignac number, because none of the positive numbers 2k-87825413 is a prime.

It is a Smith number, since the sum of its digits (38) coincides with the sum of the digits of its prime factors.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (87825433) 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 11 ways as a sum of consecutive naturals, for example, 20156 + ... + 24122.

It is an arithmetic number, because the mean of its divisors is an integer number (7987584).

Almost surely, 287825413 is an apocalyptic number.

It is an amenable number.

87825413 is a deficient number, since it is larger than the sum of its proper divisors (8025595).

87825413 is a wasteful number, since it uses less digits than its factorization.

87825413 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4124 (or 4111 counting only the distinct ones).

The product of its digits is 53760, while the sum is 38.

The square root of 87825413 is about 9371.5213812913. The cubic root of 87825413 is about 444.5016733644.

The spelling of 87825413 in words is "eighty-seven million, eight hundred twenty-five thousand, four hundred thirteen".

Divisors: 1 13 131 169 1703 3967 22139 51571 519677 670423 6755801 87825413