Search a number
-
+
5769528 = 2331779179
BaseRepresentation
bin10110000000100100111000
3101212010022020
4112000210320
52434111103
6323354440
7100016532
oct26004470
911763266
105769528
113290806
121b22a20
13127012b
14aa2852
1578e753
hex580938

5769528 has 64 divisors (see below), whose sum is σ = 15552000. Its totient is φ = 1777152.

The previous prime is 5769499. The next prime is 5769541. The reversal of 5769528 is 8259675.

It is a d-powerful number, because it can be written as 52 + 78 + 63 + 9 + 53 + 28 + 84 .

Its product of digits (151200) is a multiple of the sum of its prime divisors (280).

It is a self number, because there is not a number n which added to its sum of digits gives 5769528.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 32143 + ... + 32321.

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

Almost surely, 25769528 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 5769528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7776000).

5769528 is an abundant number, since it is smaller than the sum of its proper divisors (9782472).

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

5769528 is a wasteful number, since it uses less digits than its factorization.

5769528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 284 (or 280 counting only the distinct ones).

The product of its digits is 151200, while the sum is 42.

The square root of 5769528 is about 2401.9841797980. The cubic root of 5769528 is about 179.3549752845.

The spelling of 5769528 in words is "five million, seven hundred sixty-nine thousand, five hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 17 24 34 51 68 79 102 136 158 179 204 237 316 358 408 474 537 632 716 948 1074 1343 1432 1896 2148 2686 3043 4029 4296 5372 6086 8058 9129 10744 12172 14141 16116 18258 24344 28282 32232 36516 42423 56564 73032 84846 113128 169692 240397 339384 480794 721191 961588 1442382 1923176 2884764 5769528