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2442168 = 2332107317
BaseRepresentation
bin1001010100001110111000
311121002000200
421110032320
51111122133
6124202200
726521011
oct11241670
94532020
102442168
111418923
12999360
13676791
14478008
15333913
hex2543b8

2442168 has 48 divisors (see below), whose sum is σ = 6697080. Its totient is φ = 803904.

The previous prime is 2442151. The next prime is 2442173. The reversal of 2442168 is 8612442.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7546 + ... + 7862.

22442168 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 2442168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3348540).

2442168 is an abundant number, since it is smaller than the sum of its proper divisors (4254912).

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

2442168 is a wasteful number, since it uses less digits than its factorization.

2442168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 436 (or 429 counting only the distinct ones).

The product of its digits is 3072, while the sum is 27.

The square root of 2442168 is about 1562.7437409889. The cubic root of 2442168 is about 134.6661710707. Note that the first 3 decimals are identical.

The spelling of 2442168 in words is "two million, four hundred forty-two thousand, one hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 107 214 317 321 428 634 642 856 951 963 1268 1284 1902 1926 2536 2568 2853 3804 3852 5706 7608 7704 11412 22824 33919 67838 101757 135676 203514 271352 305271 407028 610542 814056 1221084 2442168