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5765088 = 253723373
BaseRepresentation
bin10101111111011111100000
3101211220012210
4111333133200
52433440323
6323322120
7100000560
oct25773740
911756183
105765088
11328843a
121b20340
13126b0c4
14aa0da0
1578d293
hex57f7e0

5765088 has 96 divisors (see below), whose sum is σ = 18095616. Its totient is φ = 1571328.

The previous prime is 5765087. The next prime is 5765093. The reversal of 5765088 is 8805675.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5765083) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15270 + ... + 15642.

It is an arithmetic number, because the mean of its divisors is an integer number (188496).

Almost surely, 25765088 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 5765088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9047808).

5765088 is an abundant number, since it is smaller than the sum of its proper divisors (12330528).

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

5765088 is a wasteful number, since it uses less digits than its factorization.

5765088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 416 (or 408 counting only the distinct ones).

The product of its (nonzero) digits is 67200, while the sum is 39.

The square root of 5765088 is about 2401.0597660200. The cubic root of 5765088 is about 179.3089553181.

The spelling of 5765088 in words is "five million, seven hundred sixty-five thousand, eighty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 23 24 28 32 42 46 48 56 69 84 92 96 112 138 161 168 184 224 276 322 336 368 373 483 552 644 672 736 746 966 1104 1119 1288 1492 1932 2208 2238 2576 2611 2984 3864 4476 5152 5222 5968 7728 7833 8579 8952 10444 11936 15456 15666 17158 17904 20888 25737 31332 34316 35808 41776 51474 60053 62664 68632 83552 102948 120106 125328 137264 180159 205896 240212 250656 274528 360318 411792 480424 720636 823584 960848 1441272 1921696 2882544 5765088