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5858944 = 27713503
BaseRepresentation
bin10110010110011010000000
3102000122221221
4112112122000
52444441234
6325324424
7100541320
oct26263200
912018857
105858944
113341a03
121b66714
1312a1a40
14ac7280
157aaeb4
hex596680

5858944 has 64 divisors (see below), whose sum is σ = 14394240. Its totient is φ = 2313216.

The previous prime is 5858933. The next prime is 5858947. The reversal of 5858944 is 4498585.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

It is a self number, because there is not a number n which added to its sum of digits gives 5858944.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5858947) 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, 11397 + ... + 11899.

It is an arithmetic number, because the mean of its divisors is an integer number (224910).

Almost surely, 25858944 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 5858944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7197120).

5858944 is an abundant number, since it is smaller than the sum of its proper divisors (8535296).

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

5858944 is a wasteful number, since it uses less digits than its factorization.

5858944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 537 (or 525 counting only the distinct ones).

The product of its digits is 230400, while the sum is 43.

The square root of 5858944 is about 2420.5255627652. The cubic root of 5858944 is about 180.2767758454.

The spelling of 5858944 in words is "five million, eight hundred fifty-eight thousand, nine hundred forty-four".

Divisors: 1 2 4 7 8 13 14 16 26 28 32 52 56 64 91 104 112 128 182 208 224 364 416 448 503 728 832 896 1006 1456 1664 2012 2912 3521 4024 5824 6539 7042 8048 11648 13078 14084 16096 26156 28168 32192 45773 52312 56336 64384 91546 104624 112672 183092 209248 225344 366184 418496 450688 732368 836992 1464736 2929472 5858944