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2585044 = 2272112109
BaseRepresentation
bin1001110111000111010100
311212100000101
421313013110
51130210134
6131223444
730654400
oct11670724
94770011
102585044
111506200
12a47b84
136c6817
144b4100
15360e14
hex2771d4

2585044 has 54 divisors (see below), whose sum is σ = 5837370. Its totient is φ = 997920.

The previous prime is 2585041. The next prime is 2585057. The reversal of 2585044 is 4405852.

2585044 = 1262 + 1272 + ... + 2132.

It can be written as a sum of positive squares in only one way, i.e., 2371600 + 213444 = 1540^2 + 462^2 .

It is a Harshad number since it is a multiple of its sum of digits (28).

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2585041) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 23662 + ... + 23770.

22585044 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 2585044, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2918685).

2585044 is an abundant number, since it is smaller than the sum of its proper divisors (3252326).

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

2585044 is a wasteful number, since it uses less digits than its factorization.

2585044 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 149 (or 129 counting only the distinct ones).

The product of its (nonzero) digits is 6400, while the sum is 28.

The square root of 2585044 is about 1607.8072023722. The cubic root of 2585044 is about 137.2427188925.

The spelling of 2585044 in words is "two million, five hundred eighty-five thousand, forty-four".

Divisors: 1 2 4 7 11 14 22 28 44 49 77 98 109 121 154 196 218 242 308 436 484 539 763 847 1078 1199 1526 1694 2156 2398 3052 3388 4796 5341 5929 8393 10682 11858 13189 16786 21364 23716 26378 33572 52756 58751 92323 117502 184646 235004 369292 646261 1292522 2585044