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2561436 = 223337641
BaseRepresentation
bin1001110001010110011100
311211010122000
421301112130
51123431221
6130522300
730525513
oct11612634
94733560
102561436
11149a499
12a36390
136b8b57
144a967a
15358e26
hex27159c

2561436 has 48 divisors (see below), whose sum is σ = 6830880. Its totient is φ = 829440.

The previous prime is 2561431. The next prime is 2561491. The reversal of 2561436 is 6341652.

2561436 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is an alternating number because its digits alternate between even and odd.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2561431) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3676 + ... + 4316.

It is an arithmetic number, because the mean of its divisors is an integer number (142310).

22561436 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 2561436, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3415440).

2561436 is an abundant number, since it is smaller than the sum of its proper divisors (4269444).

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

2561436 is a wasteful number, since it uses less digits than its factorization.

2561436 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 691 (or 683 counting only the distinct ones).

The product of its digits is 4320, while the sum is 27.

The square root of 2561436 is about 1600.4486870875. The cubic root of 2561436 is about 136.8236493432.

The spelling of 2561436 in words is "two million, five hundred sixty-one thousand, four hundred thirty-six".

Divisors: 1 2 3 4 6 9 12 18 27 36 37 54 74 108 111 148 222 333 444 641 666 999 1282 1332 1923 1998 2564 3846 3996 5769 7692 11538 17307 23076 23717 34614 47434 69228 71151 94868 142302 213453 284604 426906 640359 853812 1280718 2561436