Search a number
-
+
2561384 = 23753863
BaseRepresentation
bin1001110001010101101000
311211010120002
421301111220
51123431014
6130522132
730525410
oct11612550
94733502
102561384
11149a451
12a36348
136b8b17
144a9640
15358dde
hex271568

2561384 has 32 divisors (see below), whose sum is σ = 5598720. Its totient is φ = 1075776.

The previous prime is 2561341. The next prime is 2561387. The reversal of 2561384 is 4831652.

It is a plaindrome in base 15.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2561387) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2537 + ... + 3399.

It is an arithmetic number, because the mean of its divisors is an integer number (174960).

22561384 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 2561384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2799360).

2561384 is an abundant number, since it is smaller than the sum of its proper divisors (3037336).

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

2561384 is a wasteful number, since it uses less digits than its factorization.

2561384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 929 (or 925 counting only the distinct ones).

The product of its digits is 5760, while the sum is 29.

The square root of 2561384 is about 1600.4324415607. The cubic root of 2561384 is about 136.8227234462.

The spelling of 2561384 in words is "two million, five hundred sixty-one thousand, three hundred eighty-four".

Divisors: 1 2 4 7 8 14 28 53 56 106 212 371 424 742 863 1484 1726 2968 3452 6041 6904 12082 24164 45739 48328 91478 182956 320173 365912 640346 1280692 2561384