Search a number
-
+
2927264 = 25175381
BaseRepresentation
bin1011001010101010100000
312111201110012
423022222200
51222133024
6142424052
733611204
oct13125240
95451405
102927264
11171a32a
12b92028
137b6512
14562b04
153cc50e
hex2caaa0

2927264 has 24 divisors (see below), whose sum is σ = 6103188. Its totient is φ = 1377280.

The previous prime is 2927263. The next prime is 2927293. The reversal of 2927264 is 4627292.

It can be written as a sum of positive squares in 2 ways, for example, as 2917264 + 10000 = 1708^2 + 100^2 .

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a d-powerful number, because it can be written as 27 + 92 + 211 + 77 + 221 + 63 + 46 .

It is a self number, because there is not a number n which added to its sum of digits gives 2927264.

It is not an unprimeable number, because it can be changed into a prime (2927261) 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, 2147 + ... + 3234.

22927264 is an apocalyptic number.

It is an amenable number.

2927264 is an abundant number, since it is smaller than the sum of its proper divisors (3175924).

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

2927264 is a wasteful number, since it uses less digits than its factorization.

2927264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5408 (or 5400 counting only the distinct ones).

The product of its digits is 12096, while the sum is 32.

The square root of 2927264 is about 1710.9248960723. The cubic root of 2927264 is about 143.0498139329.

The spelling of 2927264 in words is "two million, nine hundred twenty-seven thousand, two hundred sixty-four".

Divisors: 1 2 4 8 16 17 32 34 68 136 272 544 5381 10762 21524 43048 86096 91477 172192 182954 365908 731816 1463632 2927264