Search a number
-
+
45723756 = 223131092689
BaseRepresentation
bin1010111001101…
…1000001101100
310012001000012110
42232123001230
543201130011
64312004020
71063434261
oct256330154
9105030173
1045723756
112389aa31
1213390610
13961bba0
146103268
154032ba6
hex2b9b06c

45723756 has 48 divisors (see below), whose sum is σ = 115992800. Its totient is φ = 13934592.

The previous prime is 45723751. The next prime is 45723757. The reversal of 45723756 is 65732754.

45723756 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is not an unprimeable number, because it can be changed into a prime (45723751) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15660 + ... + 18348.

Almost surely, 245723756 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 45723756, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57996400).

45723756 is an abundant number, since it is smaller than the sum of its proper divisors (70269044).

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

45723756 is a wasteful number, since it uses less digits than its factorization.

45723756 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2818 (or 2816 counting only the distinct ones).

The product of its digits is 176400, while the sum is 39.

The square root of 45723756 is about 6761.9343386342. The cubic root of 45723756 is about 357.5861034393.

The spelling of 45723756 in words is "forty-five million, seven hundred twenty-three thousand, seven hundred fifty-six".

Divisors: 1 2 3 4 6 12 13 26 39 52 78 109 156 218 327 436 654 1308 1417 2689 2834 4251 5378 5668 8067 8502 10756 16134 17004 32268 34957 69914 104871 139828 209742 293101 419484 586202 879303 1172404 1758606 3517212 3810313 7620626 11430939 15241252 22861878 45723756