Search a number
-
+
45503164 = 2272317489
BaseRepresentation
bin1010110110010…
…1001010111100
310011121210121101
42231211022330
543122100124
64303142444
71061525200
oct255451274
9104553541
1045503164
112375a223
12132a4a24
139572665
146086b00
153edc644
hex2b652bc

45503164 has 36 divisors (see below), whose sum is σ = 95632320. Its totient is φ = 18869760.

The previous prime is 45503149. The next prime is 45503167. The reversal of 45503164 is 46130554.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45503167) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2332 + ... + 9820.

Almost surely, 245503164 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 45503164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47816160).

45503164 is an abundant number, since it is smaller than the sum of its proper divisors (50129156).

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

45503164 is a wasteful number, since it uses less digits than its factorization.

45503164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7538 (or 7529 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 28.

The square root of 45503164 is about 6745.6033088227. The cubic root of 45503164 is about 357.0101240241.

The spelling of 45503164 in words is "forty-five million, five hundred three thousand, one hundred sixty-four".

Divisors: 1 2 4 7 14 28 31 49 62 98 124 196 217 434 868 1519 3038 6076 7489 14978 29956 52423 104846 209692 232159 366961 464318 733922 928636 1467844 1625113 3250226 6500452 11375791 22751582 45503164