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87936048 = 2432610667
BaseRepresentation
bin1010011110111…
…00110000110000
320010110121120200
411033130300300
5140002423143
612420435200
72115305214
oct517346060
9203417520
1087936048
1145701722
1225548b00
13152ab685
14b970944
157ac01d3
hex53dcc30

87936048 has 30 divisors (see below), whose sum is σ = 246099204. Its totient is φ = 29311968.

The previous prime is 87936041. The next prime is 87936049. The reversal of 87936048 is 84063978.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 87935994 and 87936012.

It is not an unprimeable number, because it can be changed into a prime (87936041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 305190 + ... + 305477.

Almost surely, 287936048 is an apocalyptic number.

It is an amenable number.

87936048 is an abundant number, since it is smaller than the sum of its proper divisors (158163156).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

87936048 is a wasteful number, since it uses less digits than its factorization.

87936048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 610681 (or 610672 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The square root of 87936048 is about 9377.4222470784. The cubic root of 87936048 is about 444.6882435363.

It can be divided in two parts, 8793 and 6048, that added together give a palindrome (14841).

The spelling of 87936048 in words is "eighty-seven million, nine hundred thirty-six thousand, forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 610667 1221334 1832001 2442668 3664002 4885336 5496003 7328004 9770672 10992006 14656008 21984012 29312016 43968024 87936048