Search a number
-
+
2895264 = 25341117
BaseRepresentation
bin1011000010110110100000
312110002120000
423002312200
51220122024
6142020000
733416001
oct13026640
95402500
102895264
1116a8289
12b77600
137a4a98
145551a8
153c2cc9
hex2c2da0

2895264 has 60 divisors (see below), whose sum is σ = 8522514. Its totient is φ = 964224.

The previous prime is 2895241. The next prime is 2895281. The reversal of 2895264 is 4625982.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 2862864 + 32400 = 1692^2 + 180^2 .

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

It is a nialpdrome in base 12.

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 2034 + ... + 3150.

22895264 is an apocalyptic number.

2895264 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2895264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4261257).

2895264 is an abundant number, since it is smaller than the sum of its proper divisors (5627250).

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

2895264 is a wasteful number, since it uses less digits than its factorization.

2895264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1139 (or 1122 counting only the distinct ones).

The product of its digits is 34560, while the sum is 36.

The square root of 2895264 is about 1701.5475309259. The cubic root of 2895264 is about 142.5266432177.

The spelling of 2895264 in words is "two million, eight hundred ninety-five thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 81 96 108 144 162 216 288 324 432 648 864 1117 1296 2234 2592 3351 4468 6702 8936 10053 13404 17872 20106 26808 30159 35744 40212 53616 60318 80424 90477 107232 120636 160848 180954 241272 321696 361908 482544 723816 965088 1447632 2895264