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5769504 = 2532132367
BaseRepresentation
bin10110000000100100100000
3101212010021100
4112000210200
52434111004
6323354400
7100016466
oct26004440
911763240
105769504
113290794
121b22a00
131270110
14aa2836
1578e739
hex580920

5769504 has 144 divisors (see below), whose sum is σ = 18712512. Its totient is φ = 1672704.

The previous prime is 5769499. The next prime is 5769541. The reversal of 5769504 is 4059675.

It is a tau number, because it is divible by the number of its divisors (144).

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

5769504 is a modest number, since divided by 9504 gives 576 as remainder.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 86079 + ... + 86145.

It is an arithmetic number, because the mean of its divisors is an integer number (129948).

Almost surely, 25769504 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 5769504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9356256).

5769504 is an abundant number, since it is smaller than the sum of its proper divisors (12943008).

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

5769504 is a wasteful number, since it uses less digits than its factorization.

5769504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 119 (or 108 counting only the distinct ones).

The product of its (nonzero) digits is 37800, while the sum is 36.

The square root of 5769504 is about 2401.9791839231. The cubic root of 5769504 is about 179.3547265914.

The spelling of 5769504 in words is "five million, seven hundred sixty-nine thousand, five hundred four".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 23 24 26 32 36 39 46 48 52 67 69 72 78 92 96 104 117 134 138 144 156 184 201 207 208 234 268 276 288 299 312 368 402 414 416 468 536 552 598 603 624 736 804 828 871 897 936 1072 1104 1196 1206 1248 1541 1608 1656 1742 1794 1872 2144 2208 2392 2412 2613 2691 3082 3216 3312 3484 3588 3744 4623 4784 4824 5226 5382 6164 6432 6624 6968 7176 7839 9246 9568 9648 10452 10764 12328 13869 13936 14352 15678 18492 19296 20033 20904 21528 24656 27738 27872 28704 31356 36984 40066 41808 43056 49312 55476 60099 62712 73968 80132 83616 86112 110952 120198 125424 147936 160264 180297 221904 240396 250848 320528 360594 443808 480792 641056 721188 961584 1442376 1923168 2884752 5769504