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80928288 = 2533713381
BaseRepresentation
bin1001101001011…
…01111000100000
312122021120202000
410310231320200
5131204201123
612010324000
72001610350
oct464557040
9178246660
1080928288
1141755691
1223129600
13139c6a7c
14aa68b60
157188b43
hex4d2de20

80928288 has 96 divisors (see below), whose sum is σ = 269781120. Its totient is φ = 23120640.

The previous prime is 80928269. The next prime is 80928317. The reversal of 80928288 is 88282908.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×809282882 = 13098775597221888, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 643 + ... + 12738.

It is an arithmetic number, because the mean of its divisors is an integer number (2810220).

Almost surely, 280928288 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 80928288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134890560).

80928288 is an abundant number, since it is smaller than the sum of its proper divisors (188852832).

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

80928288 is a wasteful number, since it uses less digits than its factorization.

80928288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13407 (or 13393 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 45.

The square root of 80928288 is about 8996.0151178174. The cubic root of 80928288 is about 432.5471462298.

The spelling of 80928288 in words is "eighty million, nine hundred twenty-eight thousand, two hundred eighty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 32 36 42 48 54 56 63 72 84 96 108 112 126 144 168 189 216 224 252 288 336 378 432 504 672 756 864 1008 1512 2016 3024 6048 13381 26762 40143 53524 80286 93667 107048 120429 160572 187334 214096 240858 281001 321144 361287 374668 428192 481716 562002 642288 722574 749336 843003 963432 1124004 1284576 1445148 1498672 1686006 1926864 2248008 2529009 2890296 2997344 3372012 3853728 4496016 5058018 5780592 6744024 8992032 10116036 11561184 13488048 20232072 26976096 40464144 80928288