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5841144 = 2332312617
BaseRepresentation
bin10110010010000011111000
3101222202112200
4112102003320
52443404034
6325110200
7100435401
oct26220370
911882480
105841144
11332a5a1
121b58360
1312968ca
14ac09a8
157a5a99
hex5920f8

5841144 has 48 divisors (see below), whose sum is σ = 16336320. Its totient is φ = 1883520.

The previous prime is 5841131. The next prime is 5841169. The reversal of 5841144 is 4411485.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 924 + ... + 3540.

It is an arithmetic number, because the mean of its divisors is an integer number (340340).

Almost surely, 25841144 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 5841144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8168160).

5841144 is an abundant number, since it is smaller than the sum of its proper divisors (10495176).

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

5841144 is a wasteful number, since it uses less digits than its factorization.

5841144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2660 (or 2653 counting only the distinct ones).

The product of its digits is 2560, while the sum is 27.

The square root of 5841144 is about 2416.8458784126. The cubic root of 5841144 is about 180.0940249506.

It can be divided in two parts, 584 and 1144, that added together give a cube (1728 = 123).

The spelling of 5841144 in words is "five million, eight hundred forty-one thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 31 36 62 72 93 124 186 248 279 372 558 744 1116 2232 2617 5234 7851 10468 15702 20936 23553 31404 47106 62808 81127 94212 162254 188424 243381 324508 486762 649016 730143 973524 1460286 1947048 2920572 5841144