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2831137088 = 26138633943
BaseRepresentation
bin1010100010111111…
…1011100101000000
321022022021122222012
42220233323211000
521244232341323
61144533032052
7130105160663
oct25057734500
97268248865
102831137088
11122311521a
12670185628
1336170c960
141cc00b6da
1511883a678
hexa8bfb940

2831137088 has 56 divisors (see below), whose sum is σ = 6058741248. Its totient is φ = 1304833536.

The previous prime is 2831137087. The next prime is 2831137117. The reversal of 2831137088 is 8807311382.

2831137088 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 2×28311370882 = 16030674422098239488, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2831137087) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 716045 + ... + 719987.

It is an arithmetic number, because the mean of its divisors is an integer number (108191808).

Almost surely, 22831137088 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 2831137088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3029370624).

2831137088 is an abundant number, since it is smaller than the sum of its proper divisors (3227604160).

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

2831137088 is a wasteful number, since it uses less digits than its factorization.

2831137088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4831 (or 4821 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 41.

The square root of 2831137088 is about 53208.4306101956. The cubic root of 2831137088 is about 1414.6650787443.

The spelling of 2831137088 in words is "two billion, eight hundred thirty-one million, one hundred thirty-seven thousand, eighty-eight".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 208 416 832 863 1726 3452 3943 6904 7886 11219 13808 15772 22438 27616 31544 44876 51259 55232 63088 89752 102518 126176 179504 205036 252352 359008 410072 718016 820144 1640288 3280576 3402809 6805618 13611236 27222472 44236517 54444944 88473034 108889888 176946068 217779776 353892136 707784272 1415568544 2831137088