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88082064 = 2432787383
BaseRepresentation
bin1010100000000…
…00011010010000
320010202000212200
411100000122100
5140022111224
612423523200
72116454010
oct520003220
9203660780
1088082064
11457a13a4
12255b9500
131532cc85
14b9abc40
157aed5c9
hex5400690

88082064 has 60 divisors (see below), whose sum is σ = 281726016. Its totient is φ = 25166016.

The previous prime is 88082053. The next prime is 88082107. The reversal of 88082064 is 46028088.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 42684 + ... + 44699.

Almost surely, 288082064 is an apocalyptic number.

88082064 is a gapful number since it is divisible by the number (84) formed by its first and last digit.

It is an amenable number.

88082064 is an abundant number, since it is smaller than the sum of its proper divisors (193643952).

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

88082064 is a wasteful number, since it uses less digits than its factorization.

88082064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87404 (or 87395 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 36.

The square root of 88082064 is about 9385.2045262743. The cubic root of 88082064 is about 444.9342393252.

It can be divided in two parts, 880 and 82064, that added together give a square (82944 = 2882).

The spelling of 88082064 in words is "eighty-eight million, eighty-two thousand, sixty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 36 42 48 56 63 72 84 112 126 144 168 252 336 504 1008 87383 174766 262149 349532 524298 611681 699064 786447 1048596 1223362 1398128 1572894 1835043 2097192 2446724 3145788 3670086 4194384 4893448 5505129 6291576 7340172 9786896 11010258 12583152 14680344 22020516 29360688 44041032 88082064