Search a number
-
+
45780137 = 133795177
BaseRepresentation
bin1010111010100…
…0110010101001
310012010212112122
42232220302221
543204431022
64313121025
71064060534
oct256506251
9105125478
1045780137
1123929327
12133b9175
13963b750
146119a1b
154044742
hex2ba8ca9

45780137 has 8 divisors (see below), whose sum is σ = 50634696. Its totient is φ = 41116032.

The previous prime is 45780131. The next prime is 45780197. The reversal of 45780137 is 73108754.

45780137 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 13278736 + 32501401 = 3644^2 + 5701^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 45780137 - 24 = 45780121 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 45780097 and 45780106.

It is not an unprimeable number, because it can be changed into a prime (45780131) 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, 47108 + ... + 48069.

It is an arithmetic number, because the mean of its divisors is an integer number (6329337).

Almost surely, 245780137 is an apocalyptic number.

It is an amenable number.

45780137 is a deficient number, since it is larger than the sum of its proper divisors (4854559).

45780137 is a wasteful number, since it uses less digits than its factorization.

45780137 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95227.

The product of its (nonzero) digits is 23520, while the sum is 35.

The square root of 45780137 is about 6766.1020536199. The cubic root of 45780137 is about 357.7330203654.

The spelling of 45780137 in words is "forty-five million, seven hundred eighty thousand, one hundred thirty-seven".

Divisors: 1 13 37 481 95177 1237301 3521549 45780137