Search a number
-
+
45733140 = 2233584691
BaseRepresentation
bin1010111001110…
…1010100010100
310012001111002000
42232131110110
543201430030
64312115300
71063503525
oct256352424
9105044060
1045733140
11238a6a92
1213395b30
13962323b
14610684c
154035860
hex2b9d514

45733140 has 48 divisors (see below), whose sum is σ = 142282560. Its totient is φ = 12195360.

The previous prime is 45733109. The next prime is 45733151. The reversal of 45733140 is 4133754.

45733140 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 (27).

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 41806 + ... + 42885.

It is an arithmetic number, because the mean of its divisors is an integer number (2964220).

Almost surely, 245733140 is an apocalyptic number.

It is an amenable number.

45733140 is an abundant number, since it is smaller than the sum of its proper divisors (96549420).

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

45733140 is a wasteful number, since it uses less digits than its factorization.

45733140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84709 (or 84701 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 27.

The square root of 45733140 is about 6762.6281873248. The cubic root of 45733140 is about 357.6105645273.

Adding to 45733140 its reverse (4133754), we get a palindrome (49866894).

The spelling of 45733140 in words is "forty-five million, seven hundred thirty-three thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 90 108 135 180 270 540 84691 169382 254073 338764 423455 508146 762219 846910 1016292 1270365 1524438 1693820 2286657 2540730 3048876 3811095 4573314 5081460 7622190 9146628 11433285 15244380 22866570 45733140