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2642892 = 223773431
BaseRepresentation
bin1010000101001111001100
311222021100220
422011033030
51134033032
6132351340
731315140
oct12051714
94867326
102642892
11154570a
12a75550
13716c55
144cb220
1537312c
hex2853cc

2642892 has 48 divisors (see below), whose sum is σ = 7160832. Its totient is φ = 743040.

The previous prime is 2642891. The next prime is 2642897. The reversal of 2642892 is 2982462.

It is a nialpdrome in base 12.

It is not an unprimeable number, because it can be changed into a prime (2642891) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5917 + ... + 6347.

It is an arithmetic number, because the mean of its divisors is an integer number (149184).

22642892 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 2642892, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3580416).

2642892 is an abundant number, since it is smaller than the sum of its proper divisors (4517940).

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

2642892 is a wasteful number, since it uses less digits than its factorization.

2642892 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 518 (or 516 counting only the distinct ones).

The product of its digits is 13824, while the sum is 33.

The square root of 2642892 is about 1625.6973888150. The cubic root of 2642892 is about 138.2589132136.

The spelling of 2642892 in words is "two million, six hundred forty-two thousand, eight hundred ninety-two".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 73 84 146 219 292 431 438 511 862 876 1022 1293 1533 1724 2044 2586 3017 3066 5172 6034 6132 9051 12068 18102 31463 36204 62926 94389 125852 188778 220241 377556 440482 660723 880964 1321446 2642892