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2542644 = 2233131811
BaseRepresentation
bin1001101100110000110100
311210011212000
421230300310
51122331034
6130255300
730416646
oct11546064
94704760
102542644
111487365
12a27530
136b0430
144a2896
15353599
hex26cc34

2542644 has 48 divisors (see below), whose sum is σ = 7103040. Its totient is φ = 781920.

The previous prime is 2542621. The next prime is 2542649. The reversal of 2542644 is 4462452.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2542649) 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, 499 + ... + 2309.

It is an arithmetic number, because the mean of its divisors is an integer number (147980).

22542644 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 2542644, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3551520).

2542644 is an abundant number, since it is smaller than the sum of its proper divisors (4560396).

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

2542644 is a wasteful number, since it uses less digits than its factorization.

2542644 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1837 (or 1829 counting only the distinct ones).

The product of its digits is 7680, while the sum is 27.

The square root of 2542644 is about 1594.5670258725. The cubic root of 2542644 is about 136.4882250439.

The spelling of 2542644 in words is "two million, five hundred forty-two thousand, six hundred forty-four".

Divisors: 1 2 3 4 6 9 12 13 18 26 27 36 39 52 54 78 108 117 156 234 351 468 702 1404 1811 3622 5433 7244 10866 16299 21732 23543 32598 47086 48897 65196 70629 94172 97794 141258 195588 211887 282516 423774 635661 847548 1271322 2542644