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2807472 = 243232543
BaseRepresentation
bin1010101101011010110000
312021122010110
422231122300
51204314342
6140101320
732602023
oct12553260
95248113
102807472
111648328
12b34840
13773b35
145311ba
153a6c9c
hex2ad6b0

2807472 has 40 divisors (see below), whose sum is σ = 7570944. Its totient is φ = 894784.

The previous prime is 2807443. The next prime is 2807473. The reversal of 2807472 is 2747082.

2807472 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (30) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (2807473) by changing a digit.

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, 168 + ... + 2375.

22807472 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 2807472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3785472).

2807472 is an abundant number, since it is smaller than the sum of its proper divisors (4763472).

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

2807472 is a wasteful number, since it uses less digits than its factorization.

2807472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2577 (or 2571 counting only the distinct ones).

The product of its (nonzero) digits is 6272, while the sum is 30.

The square root of 2807472 is about 1675.5512525733. The cubic root of 2807472 is about 141.0712380828.

The spelling of 2807472 in words is "two million, eight hundred seven thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 16 23 24 46 48 69 92 138 184 276 368 552 1104 2543 5086 7629 10172 15258 20344 30516 40688 58489 61032 116978 122064 175467 233956 350934 467912 701868 935824 1403736 2807472