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806728830 = 235592631733
BaseRepresentation
bin110000000101011…
…011010001111110
32002020000001220120
4300011123101332
53123010310310
6212014555410
725664040045
oct6005332176
92066001816
10806728830
11384417346
121a6208b66
13cb19a84b
14791db55c
154ac55b70
hex3015b47e

806728830 has 64 divisors (see below), whose sum is σ = 1977592320. Its totient is φ = 210555776.

The previous prime is 806728807. The next prime is 806728859. The reversal of 806728830 is 38827608.

806728830 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×8067288302 = 1301622810306337800, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 464644 + ... + 466376.

It is an arithmetic number, because the mean of its divisors is an integer number (30899880).

Almost surely, 2806728830 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 806728830, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (988796160).

806728830 is an abundant number, since it is smaller than the sum of its proper divisors (1170863490).

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

806728830 is a wasteful number, since it uses less digits than its factorization.

806728830 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2065.

The product of its (nonzero) digits is 129024, while the sum is 42.

The square root of 806728830 is about 28402.9722036269. The cubic root of 806728830 is about 930.9132086629.

The spelling of 806728830 in words is "eight hundred six million, seven hundred twenty-eight thousand, eight hundred thirty".

Divisors: 1 2 3 5 6 10 15 30 59 118 177 263 295 354 526 590 789 885 1315 1578 1733 1770 2630 3466 3945 5199 7890 8665 10398 15517 17330 25995 31034 46551 51990 77585 93102 102247 155170 204494 232755 306741 455779 465510 511235 613482 911558 1022470 1367337 1533705 2278895 2734674 3067410 4557790 6836685 13673370 26890961 53781922 80672883 134454805 161345766 268909610 403364415 806728830