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2428992 = 26324217
BaseRepresentation
bin1001010001000001000000
311120101221200
421101001000
51110211432
6124021200
726434416
oct11210100
94511850
102428992
111409a35
12991800
13670797
144732b6
1532ea7c
hex251040

2428992 has 42 divisors (see below), whose sum is σ = 6963918. Its totient is φ = 809472.

The previous prime is 2428991. The next prime is 2428997. The reversal of 2428992 is 2998242.

It can be written as a sum of positive squares in only one way, i.e., 2359296 + 69696 = 1536^2 + 264^2 .

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

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (2428991) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1533 + ... + 2684.

22428992 is an apocalyptic number.

It is an amenable number.

2428992 is an abundant number, since it is smaller than the sum of its proper divisors (4534926).

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

2428992 is a wasteful number, since it uses less digits than its factorization.

2428992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4235 (or 4222 counting only the distinct ones).

The product of its digits is 20736, while the sum is 36.

The square root of 2428992 is about 1558.5223771252. The cubic root of 2428992 is about 134.4235502949.

The spelling of 2428992 in words is "two million, four hundred twenty-eight thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 144 192 288 576 4217 8434 12651 16868 25302 33736 37953 50604 67472 75906 101208 134944 151812 202416 269888 303624 404832 607248 809664 1214496 2428992