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88978640 = 2458912497
BaseRepresentation
bin1010100110110…
…11010011010000
320012102120202012
411103123103100
5140234304030
612455042052
72130206642
oct523332320
9205376665
1088978640
1146253a73
1225970328
13155850aa
14bb62892
157c29095
hex54db4d0

88978640 has 40 divisors (see below), whose sum is σ = 209216520. Its totient is φ = 35188736.

The previous prime is 88978639. The next prime is 88978717. The reversal of 88978640 is 4687988.

It can be written as a sum of positive squares in 4 ways, for example, as 2637376 + 86341264 = 1624^2 + 9292^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 872 + ... + 13368.

It is an arithmetic number, because the mean of its divisors is an integer number (5230413).

Almost surely, 288978640 is an apocalyptic number.

88978640 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 88978640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104608260).

88978640 is an abundant number, since it is smaller than the sum of its proper divisors (120237880).

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

88978640 is a wasteful number, since it uses less digits than its factorization.

88978640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12599 (or 12593 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 50.

The square root of 88978640 is about 9432.8489863879. The cubic root of 88978640 is about 446.4387887399.

The spelling of 88978640 in words is "eighty-eight million, nine hundred seventy-eight thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 89 178 356 445 712 890 1424 1780 3560 7120 12497 24994 49988 62485 99976 124970 199952 249940 499880 999760 1112233 2224466 4448932 5561165 8897864 11122330 17795728 22244660 44489320 88978640