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45728334 = 23317109457
BaseRepresentation
bin1010111001110…
…0001001001110
310012001020111000
42232130021032
543201301314
64312041130
71063453521
oct256341116
9105036430
1045728334
11238a3413
12133931a6
139620cb2
146104bb8
154034209
hex2b9c24e

45728334 has 64 divisors (see below), whose sum is σ = 108820800. Its totient is φ = 14183424.

The previous prime is 45728327. The next prime is 45728339. The reversal of 45728334 is 43382754.

It is a happy number.

45728334 is a `hidden beast` number, since 4 + 572 + 83 + 3 + 4 = 666.

45728334 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45728339) 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 31 ways as a sum of consecutive naturals, for example, 99834 + ... + 100290.

It is an arithmetic number, because the mean of its divisors is an integer number (1700325).

Almost surely, 245728334 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45728334, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54410400).

45728334 is an abundant number, since it is smaller than the sum of its proper divisors (63092466).

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

45728334 is a wasteful number, since it uses less digits than its factorization.

45728334 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 594 (or 588 counting only the distinct ones).

The product of its digits is 80640, while the sum is 36.

The square root of 45728334 is about 6762.2728427652. The cubic root of 45728334 is about 357.5980372398.

The spelling of 45728334 in words is "forty-five million, seven hundred twenty-eight thousand, three hundred thirty-four".

Divisors: 1 2 3 6 9 17 18 27 34 51 54 102 109 153 218 306 327 457 459 654 914 918 981 1371 1853 1962 2742 2943 3706 4113 5559 5886 7769 8226 11118 12339 15538 16677 23307 24678 33354 46614 49813 50031 69921 99626 100062 139842 149439 209763 298878 419526 448317 846821 896634 1344951 1693642 2540463 2689902 5080926 7621389 15242778 22864167 45728334