Search a number
-
+
45136 = 2471331
BaseRepresentation
bin1011000001010000
32021220201
423001100
52421021
6544544
7245410
oct130120
967821
1045136
1130a03
1222154
1317710
1412640
15d591
hexb050

45136 has 40 divisors (see below), whose sum is σ = 111104. Its totient is φ = 17280.

The previous prime is 45131. The next prime is 45137. The reversal of 45136 is 63154.

It can be divided in two parts, 45 and 136, that added together give a palindrome (181).

45136 is nontrivially palindromic in base 11.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45131) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1441 + ... + 1471.

245136 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 45136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55552).

45136 is an abundant number, since it is smaller than the sum of its proper divisors (65968).

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

45136 is a wasteful number, since it uses less digits than its factorization.

45136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59 (or 53 counting only the distinct ones).

The product of its digits is 360, while the sum is 19.

The square root of 45136 is about 212.4523475982. The cubic root of 45136 is about 35.6047294142.

The spelling of 45136 in words is "forty-five thousand, one hundred thirty-six".

Divisors: 1 2 4 7 8 13 14 16 26 28 31 52 56 62 91 104 112 124 182 208 217 248 364 403 434 496 728 806 868 1456 1612 1736 2821 3224 3472 5642 6448 11284 22568 45136