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87999978 = 231123291999
BaseRepresentation
bin1010011111011…
…00010111101010
320010120212021110
411033230113222
5140011444403
612422051150
72115662463
oct517542752
9203525243
1087999978
1145745760
1225579ab6
13153017c1
14b989d6a
157ad4103
hex53ec5ea

87999978 has 64 divisors (see below), whose sum is σ = 207360000. Its totient is φ = 24615360.

The previous prime is 87999971. The next prime is 87999997.

87999978 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×879999782 = 15487992256000968, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (66).

It is not an unprimeable number, because it can be changed into a prime (87999971) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 43023 + ... + 45021.

It is an arithmetic number, because the mean of its divisors is an integer number (3240000).

Almost surely, 287999978 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 87999978, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103680000).

87999978 is an abundant number, since it is smaller than the sum of its proper divisors (119360022).

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

87999978 is a wasteful number, since it uses less digits than its factorization.

87999978 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2067.

The product of its digits is 20575296, while the sum is 66.

The square root of 87999978 is about 9380.8303470428. The cubic root of 87999978 is about 444.7959810475.

The spelling of 87999978 in words is "eighty-seven million, nine hundred ninety-nine thousand, nine hundred seventy-eight".

Divisors: 1 2 3 6 11 22 23 29 33 46 58 66 69 87 138 174 253 319 506 638 667 759 957 1334 1518 1914 1999 2001 3998 4002 5997 7337 11994 14674 21989 22011 43978 44022 45977 57971 65967 91954 115942 131934 137931 173913 275862 347826 505747 637681 1011494 1275362 1333333 1517241 1913043 2666666 3034482 3826086 3999999 7999998 14666663 29333326 43999989 87999978