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2428442112 = 2931793001
BaseRepresentation
bin1001000010111111…
…0001011000000000
320021020112122022110
42100233301120000
514433140121422
61040545535320
7114115263105
oct22057613000
96236478273
102428442112
111036879558
12579344540
132c91667c5
14190744aac
15e32e360c
hex90bf1600

2428442112 has 80 divisors (see below), whose sum is σ = 6850155312. Its totient is φ = 761856000.

The previous prime is 2428442101. The next prime is 2428442119. The reversal of 2428442112 is 2112448242.

It is a happy number.

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

It is a self number, because there is not a number n which added to its sum of digits gives 2428442112.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2428442119) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 20389 + ... + 72612.

Almost surely, 22428442112 is an apocalyptic number.

It is an amenable number.

2428442112 is an abundant number, since it is smaller than the sum of its proper divisors (4421713200).

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

2428442112 is an equidigital number, since it uses as much as digits as its factorization.

2428442112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 93039 (or 93023 counting only the distinct ones).

The product of its digits is 8192, while the sum is 30.

The square root of 2428442112 is about 49279.2259679472. The cubic root of 2428442112 is about 1344.1340569229.

The spelling of 2428442112 in words is "two billion, four hundred twenty-eight million, four hundred forty-two thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 64 68 96 102 128 136 192 204 256 272 384 408 512 544 768 816 1088 1536 1632 2176 3264 4352 6528 8704 13056 26112 93001 186002 279003 372004 558006 744008 1116012 1488016 1581017 2232024 2976032 3162034 4464048 4743051 5952064 6324068 8928096 9486102 11904128 12648136 17856192 18972204 23808256 25296272 35712384 37944408 47616512 50592544 71424768 75888816 101185088 142849536 151777632 202370176 303555264 404740352 607110528 809480704 1214221056 2428442112