Search a number
-
+
45119016 = 23326110273
BaseRepresentation
bin1010110000011…
…1011000101000
310010220021122200
42230013120220
543022302031
64251020200
71055335215
oct254073050
9103807580
1045119016
1123517648
121313a660
139469857
145dc6b0c
153e638e6
hex2b07628

45119016 has 48 divisors (see below), whose sum is σ = 124212660. Its totient is φ = 14791680.

The previous prime is 45118999. The next prime is 45119017. The reversal of 45119016 is 61091154.

It can be written as a sum of positive squares in 2 ways, for example, as 36650916 + 8468100 = 6054^2 + 2910^2 .

It is not an unprimeable number, because it can be changed into a prime (45119017) 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 11 ways as a sum of consecutive naturals, for example, 745 + ... + 9528.

Almost surely, 245119016 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45119016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62106330).

45119016 is an abundant number, since it is smaller than the sum of its proper divisors (79093644).

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

45119016 is a wasteful number, since it uses less digits than its factorization.

45119016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10346 (or 10339 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 27.

The square root of 45119016 is about 6717.0690036652. The cubic root of 45119016 is about 356.0026301199.

The spelling of 45119016 in words is "forty-five million, one hundred nineteen thousand, sixteen".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 61 72 122 183 244 366 488 549 732 1098 1464 2196 4392 10273 20546 30819 41092 61638 82184 92457 123276 184914 246552 369828 626653 739656 1253306 1879959 2506612 3759918 5013224 5639877 7519836 11279754 15039672 22559508 45119016