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5806944 = 2533111347
BaseRepresentation
bin10110001001101101100000
3101221000122000
4112021231200
52441310234
6324244000
7100233603
oct26115540
911830560
105806944
113306930
121b40600
131284180
14ab233a
1579a899
hex589b60

5806944 has 192 divisors, whose sum is σ = 20321280. Its totient is φ = 1589760.

The previous prime is 5806937. The next prime is 5806961. The reversal of 5806944 is 4496085.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an Ulam number.

It is a junction number, because it is equal to n+sod(n) for n = 5806899 and 5806908.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 123529 + ... + 123575.

It is an arithmetic number, because the mean of its divisors is an integer number (105840).

Almost surely, 25806944 is an apocalyptic number.

5806944 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5806944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10160640).

5806944 is an abundant number, since it is smaller than the sum of its proper divisors (14514336).

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

5806944 is a wasteful number, since it uses less digits than its factorization.

5806944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90 (or 76 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 5806944 is about 2409.7601540402. The cubic root of 5806944 is about 179.7418521753.

The spelling of 5806944 in words is "five million, eight hundred six thousand, nine hundred forty-four".