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45213642 = 232171391063
BaseRepresentation
bin1010110001111…
…0011111001010
310011002002110100
42230132133022
543033314032
64253030230
71056211125
oct254363712
9104062410
1045213642
1123581751
1213185376
1394a0946
14600d3bc
153e8197c
hex2b1e7ca

45213642 has 48 divisors (see below), whose sum is σ = 104569920. Its totient is φ = 14069376.

The previous prime is 45213631. The next prime is 45213689. The reversal of 45213642 is 24631254.

45213642 is a `hidden beast` number, since 4 + 5 + 2 + 13 + 642 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 42003 + ... + 43065.

It is an arithmetic number, because the mean of its divisors is an integer number (2178540).

Almost surely, 245213642 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45213642, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52284960).

45213642 is an abundant number, since it is smaller than the sum of its proper divisors (59356278).

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

45213642 is a wasteful number, since it uses less digits than its factorization.

45213642 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1227 (or 1224 counting only the distinct ones).

The product of its digits is 5760, while the sum is 27.

The square root of 45213642 is about 6724.1090116089. The cubic root of 45213642 is about 356.2513322203.

Adding to 45213642 its reverse (24631254), we get a palindrome (69844896).

The spelling of 45213642 in words is "forty-five million, two hundred thirteen thousand, six hundred forty-two".

Divisors: 1 2 3 6 9 17 18 34 51 102 139 153 278 306 417 834 1063 1251 2126 2363 2502 3189 4726 6378 7089 9567 14178 18071 19134 21267 36142 42534 54213 108426 147757 162639 295514 325278 443271 886542 1329813 2511869 2659626 5023738 7535607 15071214 22606821 45213642