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5764096 = 21013433
BaseRepresentation
bin10101111111010000000000
3101211211212001
4111333100000
52433422341
6323313344
766664642
oct25772000
911754761
105764096
113287718
121b1b854
13126a810
14aa0892
1578cd31
hex57f400

5764096 has 44 divisors (see below), whose sum is σ = 12437572. Its totient is φ = 2654208.

The previous prime is 5764091. The next prime is 5764097. The reversal of 5764096 is 6904675.

It can be written as a sum of positive squares in 2 ways, for example, as 746496 + 5017600 = 864^2 + 2240^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5764091) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 13096 + ... + 13528.

Almost surely, 25764096 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 5764096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6218786).

5764096 is an abundant number, since it is smaller than the sum of its proper divisors (6673476).

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

5764096 is a wasteful number, since it uses less digits than its factorization.

5764096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 466 (or 448 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 37.

The square root of 5764096 is about 2400.8531816835. The cubic root of 5764096 is about 179.2986701506.

It can be divided in two parts, 576 and 4096, that multiplied together give a square (2359296 = 15362).

The spelling of 5764096 in words is "five million, seven hundred sixty-four thousand, ninety-six".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 128 208 256 416 433 512 832 866 1024 1664 1732 3328 3464 5629 6656 6928 11258 13312 13856 22516 27712 45032 55424 90064 110848 180128 221696 360256 443392 720512 1441024 2882048 5764096