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5756904 = 2332372161
BaseRepresentation
bin10101111101011111101000
3101211110222200
4111331133220
52433210104
6323220200
766634656
oct25753750
911743880
105756904
11328227a
121b17660
13126746a
14a9bdd6
1578ab39
hex57d7e8

5756904 has 48 divisors (see below), whose sum is σ = 16020420. Its totient is φ = 1866240.

The previous prime is 5756903. The next prime is 5756939. The reversal of 5756904 is 4096575.

5756904 is digitally balanced in base 5, 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 5280804 + 476100 = 2298^2 + 690^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an Ulam number.

It is not an unprimeable number, because it can be changed into a prime (5756903) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1584 + ... + 3744.

Almost surely, 25756904 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 5756904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8010210).

5756904 is an abundant number, since it is smaller than the sum of its proper divisors (10263516).

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

5756904 is a wasteful number, since it uses less digits than its factorization.

5756904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2210 (or 2203 counting only the distinct ones).

The product of its (nonzero) digits is 37800, while the sum is 36.

The square root of 5756904 is about 2399.3549133048. The cubic root of 5756904 is about 179.2240673723.

The spelling of 5756904 in words is "five million, seven hundred fifty-six thousand, nine hundred four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 37 72 74 111 148 222 296 333 444 666 888 1332 2161 2664 4322 6483 8644 12966 17288 19449 25932 38898 51864 77796 79957 155592 159914 239871 319828 479742 639656 719613 959484 1439226 1918968 2878452 5756904