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5762916 = 2232160081
BaseRepresentation
bin10101111110111101100100
3101211210020100
4111332331210
52433403131
6323304100
766661335
oct25767544
911753210
105762916
113286845
121b1b030
13126a113
14aa028c
1578c7e6
hex57ef64

5762916 has 18 divisors (see below), whose sum is σ = 14567462. Its totient is φ = 1920960.

The previous prime is 5762891. The next prime is 5762917. The reversal of 5762916 is 6192675.

It can be written as a sum of positive squares in only one way, i.e., 5760000 + 2916 = 2400^2 + 54^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a super-2 number, since 2×57629162 = 66422401646112, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36), and also a Moran number because the ratio is a prime number: 160081 = 5762916 / (5 + 7 + 6 + 2 + 9 + 1 + 6).

It is not an unprimeable number, because it can be changed into a prime (5762917) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 80005 + ... + 80076.

Almost surely, 25762916 is an apocalyptic number.

It is an amenable number.

5762916 is an abundant number, since it is smaller than the sum of its proper divisors (8804546).

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

5762916 is a wasteful number, since it uses less digits than its factorization.

5762916 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 160091 (or 160086 counting only the distinct ones).

The product of its digits is 22680, while the sum is 36.

The square root of 5762916 is about 2400.6074231327. The cubic root of 5762916 is about 179.2864342412.

It can be divided in two parts, 576 and 2916, that multiplied together give a 8-th power (1679616 = 68).

The spelling of 5762916 in words is "five million, seven hundred sixty-two thousand, nine hundred sixteen".

Divisors: 1 2 3 4 6 9 12 18 36 160081 320162 480243 640324 960486 1440729 1920972 2881458 5762916