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5775264 = 2532111823
BaseRepresentation
bin10110000001111110100000
3101212102011200
4112001332200
52434302024
6323441200
7100042335
oct26017640
911772150
105775264
113295050
121b26200
131272921
14aa498c
157912c9
hex581fa0

5775264 has 72 divisors (see below), whose sum is σ = 17926272. Its totient is φ = 1749120.

The previous prime is 5775241. The next prime is 5775271. The reversal of 5775264 is 4625775.

It is a tau number, because it is divible by the number of its divisors (72).

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

It is a d-powerful number, because it can be written as 55 + 72 + 78 + 55 + 25 + 62 + 46 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2257 + ... + 4079.

It is an arithmetic number, because the mean of its divisors is an integer number (248976).

Almost surely, 25775264 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 5775264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8963136).

5775264 is an abundant number, since it is smaller than the sum of its proper divisors (12151008).

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

5775264 is a wasteful number, since it uses less digits than its factorization.

5775264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1850 (or 1839 counting only the distinct ones).

The product of its digits is 58800, while the sum is 36.

The square root of 5775264 is about 2403.1778960368. The cubic root of 5775264 is about 179.4143931659.

The spelling of 5775264 in words is "five million, seven hundred seventy-five thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 32 33 36 44 48 66 72 88 96 99 132 144 176 198 264 288 352 396 528 792 1056 1584 1823 3168 3646 5469 7292 10938 14584 16407 20053 21876 29168 32814 40106 43752 58336 60159 65628 80212 87504 120318 131256 160424 175008 180477 240636 262512 320848 360954 481272 525024 641696 721908 962544 1443816 1925088 2887632 5775264