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87916301 = 1126471123
BaseRepresentation
bin1010011110101…
…11111100001101
320010102121111022
411033113330031
5140001310201
612420203525
72115163514
oct517277415
9203377438
1087916301
1145698900
12255395a5
13152a26a5
14b96767b
157ab941b
hex53d7f0d

87916301 has 12 divisors (see below), whose sum is σ = 96870816. Its totient is φ = 79729320.

The previous prime is 87916291. The next prime is 87916303. The reversal of 87916301 is 10361978.

It is not a de Polignac number, because 87916301 - 26 = 87916237 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (87916303) 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 11 ways as a sum of consecutive naturals, for example, 77726 + ... + 78848.

It is an arithmetic number, because the mean of its divisors is an integer number (8072568).

Almost surely, 287916301 is an apocalyptic number.

It is an amenable number.

87916301 is a deficient number, since it is larger than the sum of its proper divisors (8954515).

87916301 is a wasteful number, since it uses less digits than its factorization.

87916301 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1792 (or 1781 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 35.

The square root of 87916301 is about 9376.3692866695. The cubic root of 87916301 is about 444.6549545105.

The spelling of 87916301 in words is "eighty-seven million, nine hundred sixteen thousand, three hundred one".

Divisors: 1 11 121 647 1123 7117 12353 78287 135883 726581 7992391 87916301