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88442080 = 255796997
BaseRepresentation
bin1010100010110…
…00010011100000
320011102022201121
411101120103200
5140120121310
612435342024
72122513426
oct521302340
9204368647
1088442080
1145a17931
1225751914
1315427abc
14ba63116
157b700da
hex54584e0

88442080 has 48 divisors (see below), whose sum is σ = 211619520. Its totient is φ = 34924032.

The previous prime is 88442071. The next prime is 88442111. The reversal of 88442080 is 8024488.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9142 + ... + 16138.

It is an arithmetic number, because the mean of its divisors is an integer number (4408740).

Almost surely, 288442080 is an apocalyptic number.

88442080 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 88442080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105809760).

88442080 is an abundant number, since it is smaller than the sum of its proper divisors (123177440).

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

88442080 is a wasteful number, since it uses less digits than its factorization.

88442080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7091 (or 7083 counting only the distinct ones).

The product of its (nonzero) digits is 16384, while the sum is 34.

The square root of 88442080 is about 9404.3649440034. The cubic root of 88442080 is about 445.5396054799.

The spelling of 88442080 in words is "eighty-eight million, four hundred forty-two thousand, eighty".

Divisors: 1 2 4 5 8 10 16 20 32 40 79 80 158 160 316 395 632 790 1264 1580 2528 3160 6320 6997 12640 13994 27988 34985 55976 69970 111952 139940 223904 279880 552763 559760 1105526 1119520 2211052 2763815 4422104 5527630 8844208 11055260 17688416 22110520 44221040 88442080