Search a number
-
+
45564337 = 71319373
BaseRepresentation
bin1010110111010…
…0000110110001
310011201220112001
42231310012301
543131024322
64304334001
71062201430
oct255640661
9104656461
1045564337
11237a1185
1213314301
139594460
1460a1117
154000827
hex2b741b1

45564337 has 32 divisors (see below), whose sum is σ = 60005120. Its totient is φ = 33685632.

The previous prime is 45564331. The next prime is 45564347. The reversal of 45564337 is 73346554.

45564337 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 45564337 - 23 = 45564329 is a prime.

It is a super-2 number, since 2×455643372 = 4152217612499138, which contains 22 as substring.

Its product of digits (151200) is a multiple of the sum of its prime divisors (112).

It is a junction number, because it is equal to n+sod(n) for n = 45564296 and 45564305.

It is not an unprimeable number, because it can be changed into a prime (45564331) 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 31 ways as a sum of consecutive naturals, for example, 624133 + ... + 624205.

It is an arithmetic number, because the mean of its divisors is an integer number (1875160).

Almost surely, 245564337 is an apocalyptic number.

It is an amenable number.

45564337 is a deficient number, since it is larger than the sum of its proper divisors (14440783).

45564337 is an equidigital number, since it uses as much as digits as its factorization.

45564337 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 150 (or 112 counting only the distinct ones).

The product of its digits is 151200, while the sum is 37.

The square root of 45564337 is about 6750.1360727025. The cubic root of 45564337 is about 357.1700367201.

The spelling of 45564337 in words is "forty-five million, five hundred sixty-four thousand, three hundred thirty-seven".

Divisors: 1 7 13 19 73 91 133 247 361 511 949 1387 1729 2527 4693 6643 6859 9709 18031 26353 32851 48013 89167 126217 184471 342589 500707 624169 2398123 3504949 6509191 45564337