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830831496 = 23311331839
BaseRepresentation
bin110001100001010…
…111101110001000
32010220100121112220
4301201113232020
53200143101441
6214235334040
726405644155
oct6141275610
92126317486
10830831496
11396a8a000
121b22b1320
13103189491
147c4b322c
154ce17466
hex31857b88

830831496 has 128 divisors (see below), whose sum is σ = 2361139200. Its totient is φ = 243355200.

The previous prime is 830831489. The next prime is 830831501. The reversal of 830831496 is 694138038.

It is a happy number.

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, 989845 + ... + 990683.

It is an arithmetic number, because the mean of its divisors is an integer number (18446400).

Almost surely, 2830831496 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 830831496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1180569600).

830831496 is an abundant number, since it is smaller than the sum of its proper divisors (1530307704).

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

830831496 is a wasteful number, since it uses less digits than its factorization.

830831496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 912 (or 886 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 42.

The square root of 830831496 is about 28824.1477931265. The cubic root of 830831496 is about 940.0933572587.

The spelling of 830831496 in words is "eight hundred thirty million, eight hundred thirty-one thousand, four hundred ninety-six".

Divisors: 1 2 3 4 6 8 11 12 22 24 31 33 44 62 66 88 93 121 124 132 186 242 248 264 341 363 372 484 682 726 744 839 968 1023 1331 1364 1452 1678 2046 2517 2662 2728 2904 3356 3751 3993 4092 5034 5324 6712 7502 7986 8184 9229 10068 10648 11253 15004 15972 18458 20136 22506 26009 27687 30008 31944 36916 41261 45012 52018 55374 73832 78027 82522 90024 101519 104036 110748 123783 156054 165044 203038 208072 221496 247566 286099 304557 312108 330088 406076 495132 572198 609114 624216 812152 858297 990264 1116709 1144396 1218228 1716594 2233418 2288792 2436456 3147089 3350127 3433188 4466836 6294178 6700254 6866376 8933672 9441267 12588356 13400508 18882534 25176712 26801016 34617979 37765068 69235958 75530136 103853937 138471916 207707874 276943832 415415748 830831496