Search a number
-
+
5766992 = 2471131151
BaseRepresentation
bin10101111111111101010000
3101211222211022
4111333331100
52434020432
6323335012
7100006250
oct25777520
911758738
105766992
113289910
121b21468
13126bc2a
14aa1960
1578db12
hex57ff50

5766992 has 80 divisors (see below), whose sum is σ = 14475264. Its totient is φ = 2160000.

The previous prime is 5766991. The next prime is 5767007. The reversal of 5766992 is 2996675.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a d-powerful number, because it can be written as 5 + 78 + 63 + 64 + 92 + 92 + 29 .

It is a zygodrome in base 4.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5766991) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 38117 + ... + 38267.

Almost surely, 25766992 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 5766992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7237632).

5766992 is an abundant number, since it is smaller than the sum of its proper divisors (8708272).

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

5766992 is a wasteful number, since it uses less digits than its factorization.

5766992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 208 (or 202 counting only the distinct ones).

The product of its digits is 204120, while the sum is 44.

The square root of 5766992 is about 2401.4562248769. The cubic root of 5766992 is about 179.3286928990.

The spelling of 5766992 in words is "five million, seven hundred sixty-six thousand, nine hundred ninety-two".

Divisors: 1 2 4 7 8 11 14 16 22 28 31 44 56 62 77 88 112 124 151 154 176 217 248 302 308 341 434 496 604 616 682 868 1057 1208 1232 1364 1661 1736 2114 2387 2416 2728 3322 3472 4228 4681 4774 5456 6644 8456 9362 9548 11627 13288 16912 18724 19096 23254 26576 32767 37448 38192 46508 51491 65534 74896 93016 102982 131068 186032 205964 262136 360437 411928 524272 720874 823856 1441748 2883496 5766992