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2585296 = 24741563
BaseRepresentation
bin1001110111001011010000
311212100100201
421313023100
51130212141
6131224544
730655210
oct11671320
94770321
102585296
11150640a
12a48154
136c697c
144b4240
15361031
hex2772d0

2585296 has 40 divisors (see below), whose sum is σ = 5874624. Its totient is φ = 1079040.

The previous prime is 2585293. The next prime is 2585333. The reversal of 2585296 is 6925852.

It is a happy number.

2585296 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an alternating number because its digits alternate between even and odd.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2585293) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4311 + ... + 4873.

22585296 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 2585296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2937312).

2585296 is an abundant number, since it is smaller than the sum of its proper divisors (3289328).

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

2585296 is a wasteful number, since it uses less digits than its factorization.

2585296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 619 (or 613 counting only the distinct ones).

The product of its digits is 43200, while the sum is 37.

The square root of 2585296 is about 1607.8855680676. The cubic root of 2585296 is about 137.2471783964.

The spelling of 2585296 in words is "two million, five hundred eighty-five thousand, two hundred ninety-six".

Divisors: 1 2 4 7 8 14 16 28 41 56 82 112 164 287 328 563 574 656 1126 1148 2252 2296 3941 4504 4592 7882 9008 15764 23083 31528 46166 63056 92332 161581 184664 323162 369328 646324 1292648 2585296