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2642868 = 22352719
BaseRepresentation
bin1010000101001110110100
311222021100000
422011032310
51134032433
6132351300
731315104
oct12051664
94867300
102642868
111545698
12a75530
13716c37
144cb204
15373113
hex2853b4

2642868 has 36 divisors (see below), whose sum is σ = 6930560. Its totient is φ = 880632.

The previous prime is 2642863. The next prime is 2642869. The reversal of 2642868 is 8682462.

2642868 is a `hidden beast` number, since 2 + 642 + 8 + 6 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

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

It is a nialpdrome in base 12.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2642863) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 388 + ... + 2331.

22642868 is an apocalyptic number.

It is an amenable number.

2642868 is an abundant number, since it is smaller than the sum of its proper divisors (4287692).

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

2642868 is a wasteful number, since it uses less digits than its factorization.

2642868 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2738 (or 2724 counting only the distinct ones).

The product of its digits is 36864, while the sum is 36.

The square root of 2642868 is about 1625.6900073507. The cubic root of 2642868 is about 138.2584947044.

The spelling of 2642868 in words is "two million, six hundred forty-two thousand, eight hundred sixty-eight".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 243 324 486 972 2719 5438 8157 10876 16314 24471 32628 48942 73413 97884 146826 220239 293652 440478 660717 880956 1321434 2642868