Search a number
-
+
5781792 = 253229263
BaseRepresentation
bin10110000011100100100000
3101212202010110
4112003210200
52440004132
6323531320
7100100352
oct26034440
911782113
105781792
113299a45
121b29b40
1312758a3
14aa70d2
157931cc
hex583920

5781792 has 48 divisors (see below), whose sum is σ = 15301440. Its totient is φ = 1911552.

The previous prime is 5781791. The next prime is 5781793. The reversal of 5781792 is 2971875.

It is an interprime number because it is at equal distance from previous prime (5781791) and next prime (5781793).

It is a tau number, because it is divible by the number of its divisors (48).

It is a self number, because there is not a number n which added to its sum of digits gives 5781792.

It is not an unprimeable number, because it can be changed into a prime (5781791) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 21853 + ... + 22115.

It is an arithmetic number, because the mean of its divisors is an integer number (318780).

Almost surely, 25781792 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 5781792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7650720).

5781792 is an abundant number, since it is smaller than the sum of its proper divisors (9519648).

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

5781792 is a wasteful number, since it uses less digits than its factorization.

5781792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 505 (or 497 counting only the distinct ones).

The product of its digits is 35280, while the sum is 39.

The square root of 5781792 is about 2404.5357140205. The cubic root of 5781792 is about 179.4819673435.

The spelling of 5781792 in words is "five million, seven hundred eighty-one thousand, seven hundred ninety-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 229 263 458 526 687 789 916 1052 1374 1578 1832 2104 2748 3156 3664 4208 5496 6312 7328 8416 10992 12624 21984 25248 60227 120454 180681 240908 361362 481816 722724 963632 1445448 1927264 2890896 5781792