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45752 = 2371943
BaseRepresentation
bin1011001010111000
32022202112
423022320
52431002
6551452
7250250
oct131270
968675
1045752
1131413
1222588
1317a95
1412960
15d852
hexb2b8

45752 has 32 divisors (see below), whose sum is σ = 105600. Its totient is φ = 18144.

The previous prime is 45751. The next prime is 45757. The reversal of 45752 is 25754.

45752 is nontrivially palindromic in base 11.

45752 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a plaindrome in base 12.

It is a nialpdrome in base 15.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 45752.

It is not an unprimeable number, because it can be changed into a prime (45751) 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, 1043 + ... + 1085.

It is an arithmetic number, because the mean of its divisors is an integer number (3300).

245752 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 45752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52800).

45752 is an abundant number, since it is smaller than the sum of its proper divisors (59848).

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

45752 is a wasteful number, since it uses less digits than its factorization.

45752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75 (or 71 counting only the distinct ones).

The product of its digits is 1400, while the sum is 23.

The square root of 45752 is about 213.8971715568. The cubic root of 45752 is about 35.7659716399.

It can be divided in two parts, 45 and 752, that added together give a palindrome (797).

The spelling of 45752 in words is "forty-five thousand, seven hundred fifty-two".

Divisors: 1 2 4 7 8 14 19 28 38 43 56 76 86 133 152 172 266 301 344 532 602 817 1064 1204 1634 2408 3268 5719 6536 11438 22876 45752