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45073 = 747137
BaseRepresentation
bin1011000000010001
32021211101
423000101
52420243
6544401
7245260
oct130021
967741
1045073
1130956
1222101
1317692
14125d7
15d54d
hexb011

45073 has 8 divisors (see below), whose sum is σ = 52992. Its totient is φ = 37536.

The previous prime is 45061. The next prime is 45077. The reversal of 45073 is 37054.

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

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-45073 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 45073.

It is not an unprimeable number, because it can be changed into a prime (45077) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 261 + ... + 397.

It is an arithmetic number, because the mean of its divisors is an integer number (6624).

245073 is an apocalyptic number.

It is an amenable number.

45073 is a deficient number, since it is larger than the sum of its proper divisors (7919).

45073 is a wasteful number, since it uses less digits than its factorization.

45073 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 191.

The product of its (nonzero) digits is 420, while the sum is 19.

The square root of 45073 is about 212.3040272816. The cubic root of 45073 is about 35.5881562251.

Subtracting from 45073 its sum of digits (19), we obtain a palindrome (45054).

The spelling of 45073 in words is "forty-five thousand, seventy-three".

Divisors: 1 7 47 137 329 959 6439 45073