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831113088 = 27313295741
BaseRepresentation
bin110001100010011…
…100011110000000
32010220212220211020
4301202130132000
53200231104323
6214245345440
726411226141
oct6142343600
92126786736
10831113088
11397161623
121b2408280
131032576c0
147c547ac8
154ce70ae3
hex3189c780

831113088 has 128 divisors (see below), whose sum is σ = 2459872800. Its totient is φ = 246865920.

The previous prime is 831113083. The next prime is 831113093. The reversal of 831113088 is 880311138.

It is an interprime number because it is at equal distance from previous prime (831113083) and next prime (831113093).

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (831113083) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 141898 + ... + 147638.

Almost surely, 2831113088 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 831113088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1229936400).

831113088 is an abundant number, since it is smaller than the sum of its proper divisors (1628759712).

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

831113088 is a wasteful number, since it uses less digits than its factorization.

831113088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5800 (or 5788 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 33.

The square root of 831113088 is about 28829.0320336983. The cubic root of 831113088 is about 940.1995532275.

The spelling of 831113088 in words is "eight hundred thirty-one million, one hundred thirteen thousand, eighty-eight".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 29 32 39 48 52 58 64 78 87 96 104 116 128 156 174 192 208 232 312 348 377 384 416 464 624 696 754 832 928 1131 1248 1392 1508 1664 1856 2262 2496 2784 3016 3712 4524 4992 5568 5741 6032 9048 11136 11482 12064 17223 18096 22964 24128 34446 36192 45928 48256 68892 72384 74633 91856 137784 144768 149266 166489 183712 223899 275568 298532 332978 367424 447798 499467 551136 597064 665956 734848 895596 998934 1102272 1194128 1331912 1791192 1997868 2164357 2204544 2388256 2663824 3582384 3995736 4328714 4776512 5327648 6493071 7164768 7991472 8657428 9553024 10655296 12986142 14329536 15982944 17314856 21310592 25972284 28659072 31965888 34629712 51944568 63931776 69259424 103889136 138518848 207778272 277037696 415556544 831113088