Search a number
-
+
45648980 = 22513175573
BaseRepresentation
bin1010111000100…
…0110001010100
310011220012121222
42232020301110
543141231410
64310225512
71063003256
oct256106124
9104805558
1045648980
1123849833
1213355298
1395c3b40
1460c3cd6
15401a955
hex2b88c54

45648980 has 24 divisors (see below), whose sum is σ = 103237512. Its totient is φ = 16854912.

The previous prime is 45648979. The next prime is 45648983. The reversal of 45648980 is 8984654.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 1106704 + 44542276 = 1052^2 + 6674^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45648983) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 87527 + ... + 88046.

It is an arithmetic number, because the mean of its divisors is an integer number (4301563).

Almost surely, 245648980 is an apocalyptic number.

It is an amenable number.

45648980 is an abundant number, since it is smaller than the sum of its proper divisors (57588532).

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

45648980 is a wasteful number, since it uses less digits than its factorization.

45648980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 175595 (or 175593 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 44.

The square root of 45648980 is about 6756.4028891119. The cubic root of 45648980 is about 357.3910666197.

The spelling of 45648980 in words is "forty-five million, six hundred forty-eight thousand, nine hundred eighty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 260 175573 351146 702292 877865 1755730 2282449 3511460 4564898 9129796 11412245 22824490 45648980