Search a number
-
+
45282692 = 22713314013
BaseRepresentation
bin1010110010111…
…1010110000100
310011012121011202
42230233112010
543043021232
64254322032
71056616340
oct254572604
9104177152
1045282692
1123619614
12131b9318
1394c61c0
14602a620
153e97162
hex2b2f584

45282692 has 48 divisors (see below), whose sum is σ = 100703232. Its totient is φ = 17331840.

The previous prime is 45282691. The next prime is 45282697. The reversal of 45282692 is 29628254.

45282692 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (45282691) 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 15 ways as a sum of consecutive naturals, for example, 9278 + ... + 13290.

It is an arithmetic number, because the mean of its divisors is an integer number (2097984).

Almost surely, 245282692 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 45282692, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50351616).

45282692 is an abundant number, since it is smaller than the sum of its proper divisors (55420540).

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

45282692 is a wasteful number, since it uses less digits than its factorization.

45282692 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4068 (or 4066 counting only the distinct ones).

The product of its digits is 69120, while the sum is 38.

The square root of 45282692 is about 6729.2415620187. The cubic root of 45282692 is about 356.4325949356.

The spelling of 45282692 in words is "forty-five million, two hundred eighty-two thousand, six hundred ninety-two".

Divisors: 1 2 4 7 13 14 26 28 31 52 62 91 124 182 217 364 403 434 806 868 1612 2821 4013 5642 8026 11284 16052 28091 52169 56182 104338 112364 124403 208676 248806 365183 497612 730366 870821 1460732 1617239 1741642 3234478 3483284 6468956 11320673 22641346 45282692