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5790528 = 26341117
BaseRepresentation
bin10110000101101101000000
3101220012010000
4112011231000
52440244103
6324040000
7100135002
oct26055500
911805100
105790528
1132a5567
121b33000
131279863
14aaa372
15795aa3
hex585b40

5790528 has 70 divisors (see below), whose sum is σ = 17180306. Its totient is φ = 1928448.

The previous prime is 5790527. The next prime is 5790529. The reversal of 5790528 is 8250975.

It is an interprime number because it is at equal distance from previous prime (5790527) and next prime (5790529).

It can be written as a sum of positive squares in only one way, i.e., 3504384 + 2286144 = 1872^2 + 1512^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 5790492 and 5790501.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5790527) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 4626 + ... + 5742.

Almost surely, 25790528 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 5790528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8590153).

5790528 is an abundant number, since it is smaller than the sum of its proper divisors (11389778).

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

5790528 is a wasteful number, since it uses less digits than its factorization.

5790528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1141 (or 1122 counting only the distinct ones).

The product of its (nonzero) digits is 25200, while the sum is 36.

The square root of 5790528 is about 2406.3515952579. The cubic root of 5790528 is about 179.5723179608.

The spelling of 5790528 in words is "five million, seven hundred ninety thousand, five hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 144 162 192 216 288 324 432 576 648 864 1117 1296 1728 2234 2592 3351 4468 5184 6702 8936 10053 13404 17872 20106 26808 30159 35744 40212 53616 60318 71488 80424 90477 107232 120636 160848 180954 214464 241272 321696 361908 482544 643392 723816 965088 1447632 1930176 2895264 5790528