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5758944 = 253239251
BaseRepresentation
bin10101111101111111100000
3101211120210020
4111331333200
52433241234
6323233440
766643632
oct25757740
911746706
105758944
113283864
121b18880
131268379
14a9ca52
1578b549
hex57dfe0

5758944 has 48 divisors (see below), whose sum is σ = 15240960. Its totient is φ = 1904000.

The previous prime is 5758943. The next prime is 5758981. The reversal of 5758944 is 4498575.

It is a tau number, because it is divible by the number of its divisors (48).

It is a junction number, because it is equal to n+sod(n) for n = 5758896 and 5758905.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5758943) 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, 22819 + ... + 23069.

It is an arithmetic number, because the mean of its divisors is an integer number (317520).

Almost surely, 25758944 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 5758944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7620480).

5758944 is an abundant number, since it is smaller than the sum of its proper divisors (9482016).

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

5758944 is a wasteful number, since it uses less digits than its factorization.

5758944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 503 (or 495 counting only the distinct ones).

The product of its digits is 201600, while the sum is 42.

The square root of 5758944 is about 2399.7799899157. The cubic root of 5758944 is about 179.2452346478.

The spelling of 5758944 in words is "five million, seven hundred fifty-eight thousand, nine hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 239 251 478 502 717 753 956 1004 1434 1506 1912 2008 2868 3012 3824 4016 5736 6024 7648 8032 11472 12048 22944 24096 59989 119978 179967 239956 359934 479912 719868 959824 1439736 1919648 2879472 5758944