Search a number
-
+
45232 = 2411257
BaseRepresentation
bin1011000010110000
32022001021
423002300
52421412
6545224
7245605
oct130260
968037
1045232
1130a90
1222214
1317785
14126ac
15d607
hexb0b0

45232 has 20 divisors (see below), whose sum is σ = 95976. Its totient is φ = 20480.

The previous prime is 45197. The next prime is 45233. The reversal of 45232 is 23254.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is an Ulam number.

It is an alternating number because its digits alternate between even and odd.

45232 is an undulating number in base 16.

It is a plaindrome in base 14.

It is not an unprimeable number, because it can be changed into a prime (45233) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 48 + ... + 304.

245232 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 45232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47988).

45232 is an abundant number, since it is smaller than the sum of its proper divisors (50744).

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

45232 is a wasteful number, since it uses less digits than its factorization.

45232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 276 (or 270 counting only the distinct ones).

The product of its digits is 240, while the sum is 16.

The square root of 45232 is about 212.6781606089. The cubic root of 45232 is about 35.6299541689.

Adding to 45232 its reverse (23254), we get a palindrome (68486).

It can be divided in two parts, 452 and 32, that added together give a palindrome (484).

The spelling of 45232 in words is "forty-five thousand, two hundred thirty-two".

Divisors: 1 2 4 8 11 16 22 44 88 176 257 514 1028 2056 2827 4112 5654 11308 22616 45232