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3135808 = 26133769
BaseRepresentation
bin1011111101100101000000
312220022112001
423331211000
51300321213
6151113344
735440204
oct13754500
95808461
103135808
111851a85
121072854
1385a410
145b8b04
1541e1dd
hex2fd940

3135808 has 28 divisors (see below), whose sum is σ = 6703060. Its totient is φ = 1446912.

The previous prime is 3135773. The next prime is 3135809. The reversal of 3135808 is 8085313.

3135808 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 1517824 + 1617984 = 1232^2 + 1272^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3135809) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1053 + ... + 2716.

It is an arithmetic number, because the mean of its divisors is an integer number (239395).

Almost surely, 23135808 is an apocalyptic number.

It is an amenable number.

3135808 is an abundant number, since it is smaller than the sum of its proper divisors (3567252).

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

3135808 is a wasteful number, since it uses less digits than its factorization.

3135808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3794 (or 3784 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 28.

The square root of 3135808 is about 1770.8212783903. The cubic root of 3135808 is about 146.3692411516.

The spelling of 3135808 in words is "three million, one hundred thirty-five thousand, eight hundred eight".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 208 416 832 3769 7538 15076 30152 48997 60304 97994 120608 195988 241216 391976 783952 1567904 3135808