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45141606 = 2321926947
BaseRepresentation
bin1010110000110…
…0111001100110
310010221102122100
42230030321212
543024012411
64251312530
71055461116
oct254147146
9103842570
1045141606
1123532614
121314b746
139476c13
145dd1046
153e6a456
hex2b0ce66

45141606 has 36 divisors (see below), whose sum is σ = 103240332. Its totient is φ = 14253192.

The previous prime is 45141589. The next prime is 45141619. The reversal of 45141606 is 60614154.

45141606 is a `hidden beast` number, since 4 + 51 + 4 + 1 + 606 = 666.

45141606 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 45141606.

It is a congruent number.

It is an unprimeable number.

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 17 ways as a sum of consecutive naturals, for example, 3025 + ... + 9971.

It is an arithmetic number, because the mean of its divisors is an integer number (2867787).

Almost surely, 245141606 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45141606, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51620166).

45141606 is an abundant number, since it is smaller than the sum of its proper divisors (58098726).

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

45141606 is a wasteful number, since it uses less digits than its factorization.

45141606 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6993 (or 6971 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 45141606 is about 6718.7503302326. The cubic root of 45141606 is about 356.0620341756.

The spelling of 45141606 in words is "forty-five million, one hundred forty-one thousand, six hundred six".

Divisors: 1 2 3 6 9 18 19 38 57 114 171 342 361 722 1083 2166 3249 6498 6947 13894 20841 41682 62523 125046 131993 263986 395979 791958 1187937 2375874 2507867 5015734 7523601 15047202 22570803 45141606