Search a number
-
+
45444078 = 234319049
BaseRepresentation
bin1010110101011…
…0101111101110
310011111210120000
42231112233232
543113202303
64302005130
71061161011
oct255265756
9104453500
1045444078
1123719899
12132767a6
1395517b4
14606d378
153ec9da3
hex2b56bee

45444078 has 40 divisors (see below), whose sum is σ = 105124800. Its totient is φ = 14657760.

The previous prime is 45444071. The next prime is 45444079. The reversal of 45444078 is 87044454.

45444078 is a `hidden beast` number, since 4 + 544 + 40 + 78 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45444071) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 498 + ... + 9546.

It is an arithmetic number, because the mean of its divisors is an integer number (2628120).

Almost surely, 245444078 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45444078, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52562400).

45444078 is an abundant number, since it is smaller than the sum of its proper divisors (59680722).

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

45444078 is a wasteful number, since it uses less digits than its factorization.

45444078 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9094 (or 9085 counting only the distinct ones).

The product of its (nonzero) digits is 71680, while the sum is 36.

The square root of 45444078 is about 6741.2222927300. Note that the first 4 decimals coincide. The cubic root of 45444078 is about 356.8555308393.

The spelling of 45444078 in words is "forty-five million, four hundred forty-four thousand, seventy-eight".

Divisors: 1 2 3 6 9 18 27 31 54 62 81 93 162 186 279 558 837 1674 2511 5022 9049 18098 27147 54294 81441 162882 244323 280519 488646 561038 732969 841557 1465938 1683114 2524671 5049342 7574013 15148026 22722039 45444078