Search a number
-
+
45632730 = 23511213967
BaseRepresentation
bin1010111000010…
…0110011011010
310011212101100010
42232010303122
543140221410
64310022350
71062605013
oct256046332
9104771303
1045632730
1123838600
12133479b6
1395b9620
1460bc00a
154015c20
hex2b84cda

45632730 has 96 divisors (see below), whose sum is σ = 129773952. Its totient is φ = 10200960.

The previous prime is 45632711. The next prime is 45632731. The reversal of 45632730 is 3723654.

45632730 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (45632731) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 46707 + ... + 47673.

It is an arithmetic number, because the mean of its divisors is an integer number (1351812).

Almost surely, 245632730 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45632730, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64886976).

45632730 is an abundant number, since it is smaller than the sum of its proper divisors (84141222).

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

45632730 is a wasteful number, since it uses less digits than its factorization.

45632730 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1012 (or 1001 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 30.

The square root of 45632730 is about 6755.2002190905. The cubic root of 45632730 is about 357.3486538860.

The spelling of 45632730 in words is "forty-five million, six hundred thirty-two thousand, seven hundred thirty".

Divisors: 1 2 3 5 6 10 11 13 15 22 26 30 33 39 55 65 66 78 110 121 130 143 165 195 242 286 330 363 390 429 605 715 726 858 967 1210 1430 1573 1815 1934 2145 2901 3146 3630 4290 4719 4835 5802 7865 9438 9670 10637 12571 14505 15730 21274 23595 25142 29010 31911 37713 47190 53185 62855 63822 75426 106370 117007 125710 138281 159555 188565 234014 276562 319110 351021 377130 414843 585035 691405 702042 829686 1170070 1382810 1521091 1755105 2074215 3042182 3510210 4148430 4563273 7605455 9126546 15210910 22816365 45632730