Search a number
-
+
45380673 = 3213397977
BaseRepresentation
bin1010110100011…
…1010001000001
310011101120120200
42231013101001
543104140143
64300355413
71060505112
oct255072101
9104346520
1045380673
1123686198
1213245b69
13952b990
146054209
153eb61d3
hex2b47441

45380673 has 24 divisors (see below), whose sum is σ = 70842408. Its totient is φ = 27827712.

The previous prime is 45380659. The next prime is 45380689. The reversal of 45380673 is 37608354.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 12341169 + 33039504 = 3513^2 + 5748^2 .

It is not a de Polignac number, because 45380673 - 29 = 45380161 is a prime.

It is not an unprimeable number, because it can be changed into a prime (45380623) 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 23 ways as a sum of consecutive naturals, for example, 45961 + ... + 46937.

It is an arithmetic number, because the mean of its divisors is an integer number (2951767).

Almost surely, 245380673 is an apocalyptic number.

It is an amenable number.

45380673 is a deficient number, since it is larger than the sum of its proper divisors (25461735).

45380673 is a wasteful number, since it uses less digits than its factorization.

45380673 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1393 (or 1390 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The square root of 45380673 is about 6736.5178690478. The cubic root of 45380673 is about 356.6894882574.

The spelling of 45380673 in words is "forty-five million, three hundred eighty thousand, six hundred seventy-three".

Divisors: 1 3 9 13 39 117 397 977 1191 2931 3573 5161 8793 12701 15483 38103 46449 114309 387869 1163607 3490821 5042297 15126891 45380673