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928040080 = 245116731567
BaseRepresentation
bin110111010100001…
…100010010010000
32101200021022122211
4313110030102100
53400034240310
6232031041504
731666132132
oct6724142220
92350238584
10928040080
11436944280
1221a970294
1311a363556
148b379052
1556719c8a
hex3750c490

928040080 has 80 divisors (see below), whose sum is σ = 2358849024. Its totient is φ = 336752640.

The previous prime is 928040063. The next prime is 928040119. The reversal of 928040080 is 80040829.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×9280400802 = 1722516780172812800, 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, 591457 + ... + 593023.

Almost surely, 2928040080 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 928040080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1179424512).

928040080 is an abundant number, since it is smaller than the sum of its proper divisors (1430808944).

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

928040080 is a wasteful number, since it uses less digits than its factorization.

928040080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2264 (or 2258 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 31.

The square root of 928040080 is about 30463.7502615814. The cubic root of 928040080 is about 975.4138344061.

The spelling of 928040080 in words is "nine hundred twenty-eight million, forty thousand, eighty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 44 55 80 88 110 176 220 440 673 880 1346 1567 2692 3134 3365 5384 6268 6730 7403 7835 10768 12536 13460 14806 15670 17237 25072 26920 29612 31340 34474 37015 53840 59224 62680 68948 74030 86185 118448 125360 137896 148060 172370 275792 296120 344740 592240 689480 1054591 1378960 2109182 4218364 5272955 8436728 10545910 11600501 16873456 21091820 23201002 42183640 46402004 58002505 84367280 92804008 116005010 185608016 232010020 464020040 928040080