Search a number
-
+
45040584 = 2333076113
BaseRepresentation
bin1010101111010…
…0001111001000
310010202022001210
42223310033020
543012244314
64245213120
71054560441
oct253641710
9103668053
1045040584
1123473726
12131011a0
13943cc44
145da62c8
153e4a559
hex2af43c8

45040584 has 32 divisors (see below), whose sum is σ = 112986720. Its totient is φ = 14962176.

The previous prime is 45040577. The next prime is 45040637. The reversal of 45040584 is 48504054.

45040584 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×450405842 = 4057308414122112, which contains 22 as substring.

It is a Smith number, since the sum of its digits (30) coincides with the sum of the digits of its prime factors.

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 7 ways as a sum of consecutive naturals, for example, 4312 + ... + 10424.

It is an arithmetic number, because the mean of its divisors is an integer number (3530835).

Almost surely, 245040584 is an apocalyptic number.

It is an amenable number.

45040584 is an abundant number, since it is smaller than the sum of its proper divisors (67946136).

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

45040584 is a wasteful number, since it uses less digits than its factorization.

45040584 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6429 (or 6425 counting only the distinct ones).

The product of its (nonzero) digits is 12800, while the sum is 30.

The square root of 45040584 is about 6711.2282035407. The cubic root of 45040584 is about 355.7962264371.

The spelling of 45040584 in words is "forty-five million, forty thousand, five hundred eighty-four".

Divisors: 1 2 3 4 6 8 12 24 307 614 921 1228 1842 2456 3684 6113 7368 12226 18339 24452 36678 48904 73356 146712 1876691 3753382 5630073 7506764 11260146 15013528 22520292 45040584