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830027528 = 231189131809
BaseRepresentation
bin110001011110010…
…011011100001000
32010211211202201022
4301132103130020
53144441340103
6214210212012
726366055221
oct6136233410
92124752638
10830027528
1139658aa70
121b1b84008
13102c67565
147c344248
154cd09138
hex31793708

830027528 has 64 divisors (see below), whose sum is σ = 1732104000. Its totient is φ = 369740800.

The previous prime is 830027491. The next prime is 830027537. The reversal of 830027528 is 825720038.

It is a happy number.

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, 1025588 + ... + 1026396.

It is an arithmetic number, because the mean of its divisors is an integer number (27064125).

Almost surely, 2830027528 is an apocalyptic number.

830027528 is a gapful number since it is divisible by the number (88) 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 830027528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (866052000).

830027528 is an abundant number, since it is smaller than the sum of its proper divisors (902076472).

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

830027528 is a wasteful number, since it uses less digits than its factorization.

830027528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1046 (or 1042 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 35.

The square root of 830027528 is about 28810.1983332292. The cubic root of 830027528 is about 939.7900270406.

The spelling of 830027528 in words is "eight hundred thirty million, twenty-seven thousand, five hundred twenty-eight".

Divisors: 1 2 4 8 11 22 44 88 89 131 178 262 356 524 712 809 979 1048 1441 1618 1958 2882 3236 3916 5764 6472 7832 8899 11528 11659 17798 23318 35596 46636 71192 72001 93272 105979 128249 144002 211958 256498 288004 423916 512996 576008 792011 847832 1025992 1165769 1584022 2331538 3168044 4663076 6336088 9326152 9432131 18864262 37728524 75457048 103753441 207506882 415013764 830027528