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2485584 = 243241421
BaseRepresentation
bin1001011110110101010000
311200021120200
421132311100
51114014314
6125135200
730061413
oct11366520
94607520
102485584
111448502
129ba500
1369047a
14489b7a
15341709
hex25ed50

2485584 has 60 divisors (see below), whose sum is σ = 7142772. Its totient is φ = 806400.

The previous prime is 2485579. The next prime is 2485607. The reversal of 2485584 is 4855842.

2485584 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 51984 + 2433600 = 228^2 + 1560^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an Ulam number.

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 11 ways as a sum of consecutive naturals, for example, 5694 + ... + 6114.

22485584 is an apocalyptic number.

2485584 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 2485584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3571386).

2485584 is an abundant number, since it is smaller than the sum of its proper divisors (4657188).

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

2485584 is a wasteful number, since it uses less digits than its factorization.

2485584 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 476 (or 467 counting only the distinct ones).

The product of its digits is 51200, while the sum is 36.

The square root of 2485584 is about 1576.5734997139. The cubic root of 2485584 is about 135.4595041542.

It can be divided in two parts, 248 and 5584, that added together give a cube (5832 = 183).

The spelling of 2485584 in words is "two million, four hundred eighty-five thousand, five hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 41 48 72 82 123 144 164 246 328 369 421 492 656 738 842 984 1263 1476 1684 1968 2526 2952 3368 3789 5052 5904 6736 7578 10104 15156 17261 20208 30312 34522 51783 60624 69044 103566 138088 155349 207132 276176 310698 414264 621396 828528 1242792 2485584