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5781768 = 2331737383
BaseRepresentation
bin10110000011100100001000
3101212202002120
4112003210020
52440004033
6323531240
7100100316
oct26034410
911782076
105781768
113299a23
121b29b20
131275885
14aa70b6
157931b3
hex583908

5781768 has 64 divisors (see below), whose sum is σ = 15759360. Its totient is φ = 1760256.

The previous prime is 5781749. The next prime is 5781791. The reversal of 5781768 is 8671875.

It is a d-powerful number, because it can be written as 52 + 75 + 82 + 1 + 78 + 6 + 82 .

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, 14905 + ... + 15287.

It is an arithmetic number, because the mean of its divisors is an integer number (246240).

Almost surely, 25781768 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 5781768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7879680).

5781768 is an abundant number, since it is smaller than the sum of its proper divisors (9977592).

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

5781768 is a wasteful number, since it uses less digits than its factorization.

5781768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 446 (or 442 counting only the distinct ones).

The product of its digits is 94080, while the sum is 42.

The square root of 5781768 is about 2404.5307234469. The cubic root of 5781768 is about 179.4817190022.

It can be divided in two parts, 578 and 1768, that added together give a triangular number (2346 = T68).

The spelling of 5781768 in words is "five million, seven hundred eighty-one thousand, seven hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 17 24 34 37 51 68 74 102 111 136 148 204 222 296 383 408 444 629 766 888 1149 1258 1532 1887 2298 2516 3064 3774 4596 5032 6511 7548 9192 13022 14171 15096 19533 26044 28342 39066 42513 52088 56684 78132 85026 113368 156264 170052 240907 340104 481814 722721 963628 1445442 1927256 2890884 5781768