Search a number
-
+
5845112 = 2372133137
BaseRepresentation
bin10110010011000001111000
3101222221222122
4112103001320
52444020422
6325140412
7100453100
oct26230170
911887878
105845112
113332579
121b5a708
131298660
14ac2200
157a6d42
hex593078

5845112 has 96 divisors (see below), whose sum is σ = 14555520. Its totient is φ = 2177280.

The previous prime is 5845111. The next prime is 5845117. The reversal of 5845112 is 2115485.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5845111) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 157958 + ... + 157994.

It is an arithmetic number, because the mean of its divisors is an integer number (151620).

Almost surely, 25845112 is an apocalyptic number.

5845112 is a gapful number since it is divisible by the number (52) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5845112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7277760).

5845112 is an abundant number, since it is smaller than the sum of its proper divisors (8710408).

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

5845112 is a wasteful number, since it uses less digits than its factorization.

5845112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 101 (or 90 counting only the distinct ones).

The product of its digits is 1600, while the sum is 26.

The square root of 5845112 is about 2417.6666436877. Note that the first 4 decimals coincide. The cubic root of 5845112 is about 180.1347961497.

The spelling of 5845112 in words is "five million, eight hundred forty-five thousand, one hundred twelve".

Divisors: 1 2 4 7 8 13 14 26 28 31 37 49 52 56 62 74 91 98 104 124 148 182 196 217 248 259 296 364 392 403 434 481 518 637 728 806 868 962 1036 1147 1274 1519 1612 1736 1813 1924 2072 2294 2548 2821 3038 3224 3367 3626 3848 4588 5096 5642 6076 6734 7252 8029 9176 11284 12152 13468 14504 14911 16058 19747 22568 23569 26936 29822 32116 39494 47138 56203 59644 64232 78988 94276 104377 112406 119288 157976 188552 208754 224812 417508 449624 730639 835016 1461278 2922556 5845112