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2643904 = 26109379
BaseRepresentation
bin1010000101011111000000
311222022202101
422011133000
51134101104
6132400144
731321114
oct12053700
94868671
102643904
11154644a
12a76054
13717553
144cb744
153735a4
hex2857c0

2643904 has 28 divisors (see below), whose sum is σ = 5308600. Its totient is φ = 1306368.

The previous prime is 2643899. The next prime is 2643913. The reversal of 2643904 is 4093462.

It is a super-2 number, since 2×26439042 = 13980456722432, which contains 22 as substring.

It is an Ulam number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 6787 + ... + 7165.

22643904 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 2643904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2654300).

2643904 is an abundant number, since it is smaller than the sum of its proper divisors (2664696).

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

2643904 is a wasteful number, since it uses less digits than its factorization.

2643904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 500 (or 490 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 28.

The square root of 2643904 is about 1626.0086100633. The cubic root of 2643904 is about 138.2765580467.

Subtracting from 2643904 its sum of digits (28), we obtain a square (2643876 = 16262).

The spelling of 2643904 in words is "two million, six hundred forty-three thousand, nine hundred four".

Divisors: 1 2 4 8 16 32 64 109 218 379 436 758 872 1516 1744 3032 3488 6064 6976 12128 24256 41311 82622 165244 330488 660976 1321952 2643904