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5764632 = 2331771199
BaseRepresentation
bin10101111111011000011000
3101211212120220
4111333120120
52433432012
6323320040
766666336
oct25773030
911755526
105764632
113288065
121b20020
13126ab33
14aa0b56
1578d08c
hex57f618

5764632 has 64 divisors (see below), whose sum is σ = 15552000. Its totient is φ = 1774080.

The previous prime is 5764621. The next prime is 5764643. The reversal of 5764632 is 2364675.

It is an interprime number because it is at equal distance from previous prime (5764621) and next prime (5764643).

It is a junction number, because it is equal to n+sod(n) for n = 5764593 and 5764602.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 28869 + ... + 29067.

It is an arithmetic number, because the mean of its divisors is an integer number (243000).

Almost surely, 25764632 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 5764632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7776000).

5764632 is an abundant number, since it is smaller than the sum of its proper divisors (9787368).

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

5764632 is a wasteful number, since it uses less digits than its factorization.

5764632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 296 (or 292 counting only the distinct ones).

The product of its digits is 30240, while the sum is 33.

The square root of 5764632 is about 2400.9648060728. The cubic root of 5764632 is about 179.3042276054.

The spelling of 5764632 in words is "five million, seven hundred sixty-four thousand, six hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 17 24 34 51 68 71 102 136 142 199 204 213 284 398 408 426 568 597 796 852 1194 1207 1592 1704 2388 2414 3383 3621 4776 4828 6766 7242 9656 10149 13532 14129 14484 20298 27064 28258 28968 40596 42387 56516 81192 84774 113032 169548 240193 339096 480386 720579 960772 1441158 1921544 2882316 5764632