Search a number
-
+
45462736 = 2411972663
BaseRepresentation
bin1010110101101…
…1010011010000
310011112202011001
42231123103100
543114301421
64302231344
71061266264
oct255332320
9104482131
1045462736
1123731910
1213285554
13955a137
1460760a4
153ed0691
hex2b5b4d0

45462736 has 40 divisors (see below), whose sum is σ = 97118784. Its totient is φ = 20444160.

The previous prime is 45462719. The next prime is 45462737. The reversal of 45462736 is 63726454.

45462736 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (37) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 45462695 and 45462704.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45462737) 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 7 ways as a sum of consecutive naturals, for example, 15741 + ... + 18403.

Almost surely, 245462736 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 45462736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48559392).

45462736 is an abundant number, since it is smaller than the sum of its proper divisors (51656048).

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

45462736 is a wasteful number, since it uses less digits than its factorization.

45462736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2779 (or 2773 counting only the distinct ones).

The product of its digits is 120960, while the sum is 37.

The square root of 45462736 is about 6742.6060243796. The cubic root of 45462736 is about 356.9043622806.

It can be divided in two parts, 454 and 62736, that added together give a triangular number (63190 = T355).

The spelling of 45462736 in words is "forty-five million, four hundred sixty-two thousand, seven hundred thirty-six".

Divisors: 1 2 4 8 11 16 22 44 88 97 176 194 388 776 1067 1552 2134 2663 4268 5326 8536 10652 17072 21304 29293 42608 58586 117172 234344 258311 468688 516622 1033244 2066488 2841421 4132976 5682842 11365684 22731368 45462736