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2585424 = 24361883
BaseRepresentation
bin1001110111001101010000
311212100112110
421313031100
51130213144
6131225320
730655452
oct11671520
94770473
102585424
111506516
12a48240
136c6a4a
144b42d2
153610b9
hex277350

2585424 has 40 divisors (see below), whose sum is σ = 6796192. Its totient is φ = 846720.

The previous prime is 2585417. The next prime is 2585447. The reversal of 2585424 is 4245852.

2585424 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 2585391 and 2585400.

It is a congruent number.

It is an unprimeable number.

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, 2487 + ... + 3369.

22585424 is an apocalyptic number.

2585424 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 2585424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3398096).

2585424 is an abundant number, since it is smaller than the sum of its proper divisors (4210768).

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

2585424 is a wasteful number, since it uses less digits than its factorization.

2585424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 955 (or 949 counting only the distinct ones).

The product of its digits is 12800, while the sum is 30.

The square root of 2585424 is about 1607.9253714025. The cubic root of 2585424 is about 137.2494434302.

It can be divided in two parts, 25854 and 24, that added together give a triangular number (25878 = T227).

The spelling of 2585424 in words is "two million, five hundred eighty-five thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 16 24 48 61 122 183 244 366 488 732 883 976 1464 1766 2649 2928 3532 5298 7064 10596 14128 21192 42384 53863 107726 161589 215452 323178 430904 646356 861808 1292712 2585424