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5739168 = 253191313
BaseRepresentation
bin10101111001001010100000
3101210120122210
4111321022200
52432123133
6323002120
766532161
oct25711240
911716583
105739168
11326aa16
121b09340
13125c376
14a95768
15785763
hex5792a0

5739168 has 48 divisors (see below), whose sum is σ = 15192576. Its totient is φ = 1896960.

The previous prime is 5739161. The next prime is 5739169. The reversal of 5739168 is 8619375.

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

It is not an unprimeable number, because it can be changed into a prime (5739161) 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, 18180 + ... + 18492.

It is an arithmetic number, because the mean of its divisors is an integer number (316512).

Almost surely, 25739168 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 5739168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7596288).

5739168 is an abundant number, since it is smaller than the sum of its proper divisors (9453408).

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

5739168 is a wasteful number, since it uses less digits than its factorization.

5739168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 517 (or 509 counting only the distinct ones).

The product of its digits is 45360, while the sum is 39.

The square root of 5739168 is about 2395.6560688045. The cubic root of 5739168 is about 179.0398255175.

It can be divided in two parts, 573 and 9168, that multiplied together give a square (5253264 = 22922).

The spelling of 5739168 in words is "five million, seven hundred thirty-nine thousand, one hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 191 313 382 573 626 764 939 1146 1252 1528 1878 2292 2504 3056 3756 4584 5008 6112 7512 9168 10016 15024 18336 30048 59783 119566 179349 239132 358698 478264 717396 956528 1434792 1913056 2869584 5739168