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45015232 = 262353577
BaseRepresentation
bin1010101110111…
…0000011000000
310010201000021211
42223232003000
543010441412
64244455504
71054423513
oct253560300
9103630254
1045015232
1123456679
12130aa594
139431542
145d9ad7a
153e42ca7
hex2aee0c0

45015232 has 56 divisors (see below), whose sum is σ = 95134176. Its totient is φ = 21086208.

The previous prime is 45015169. The next prime is 45015239. The reversal of 45015232 is 23251054.

It is a super-2 number, since 2×450152322 = 4052742224027648, which contains 22 as substring.

It is a plaindrome in base 11.

It is not an unprimeable number, because it can be changed into a prime (45015239) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 77728 + ... + 78304.

Almost surely, 245015232 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 45015232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47567088).

45015232 is an abundant number, since it is smaller than the sum of its proper divisors (50118944).

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

45015232 is a wasteful number, since it uses less digits than its factorization.

45015232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 665 (or 655 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 22.

The square root of 45015232 is about 6709.3391626896. The cubic root of 45015232 is about 355.7294582172.

Adding to 45015232 its reverse (23251054), we get a palindrome (68266286).

The spelling of 45015232 in words is "forty-five million, fifteen thousand, two hundred thirty-two".

Divisors: 1 2 4 8 16 23 32 46 53 64 92 106 184 212 368 424 577 736 848 1154 1219 1472 1696 2308 2438 3392 4616 4876 9232 9752 13271 18464 19504 26542 30581 36928 39008 53084 61162 78016 106168 122324 212336 244648 424672 489296 703363 849344 978592 1406726 1957184 2813452 5626904 11253808 22507616 45015232