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2544064 = 26127313
BaseRepresentation
bin1001101101000111000000
311210020210121
421231013000
51122402224
6130310024
730424045
oct11550700
94706717
102544064
111488436
12a28314
136b0c83
144a31cc
15353be4
hex26d1c0

2544064 has 28 divisors (see below), whose sum is σ = 5104384. Its totient is φ = 1257984.

The previous prime is 2544049. The next prime is 2544079. The reversal of 2544064 is 4604452.

It is an interprime number because it is at equal distance from previous prime (2544049) and next prime (2544079).

2544064 is an admirable 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, 7972 + ... + 8284.

22544064 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 2544064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2552192).

2544064 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

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

2544064 is a wasteful number, since it uses less digits than its factorization.

2544064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 452 (or 442 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 25.

The square root of 2544064 is about 1595.0122256585. The cubic root of 2544064 is about 136.5136286803.

It can be divided in two parts, 254 and 4064, that multiplied together give a square (1032256 = 10162).

The spelling of 2544064 in words is "two million, five hundred forty-four thousand, sixty-four".

Divisors: 1 2 4 8 16 32 64 127 254 313 508 626 1016 1252 2032 2504 4064 5008 8128 10016 20032 39751 79502 159004 318008 636016 1272032 2544064