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45057114 = 2334147433
BaseRepresentation
bin1010101111100…
…0010001011010
310010210010202000
42223320101122
543013311424
64245421430
71054656564
oct253702132
9103703660
1045057114
1123485093
121310a876
13944761b
145dac334
153e503c9
hex2af845a

45057114 has 64 divisors (see below), whose sum is σ = 104993280. Its totient is φ = 14307840.

The previous prime is 45057109. The next prime is 45057121. The reversal of 45057114 is 41175054.

It is a happy number.

45057114 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

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 31 ways as a sum of consecutive naturals, for example, 103842 + ... + 104274.

It is an arithmetic number, because the mean of its divisors is an integer number (1640520).

Almost surely, 245057114 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45057114, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52496640).

45057114 is an abundant number, since it is smaller than the sum of its proper divisors (59936166).

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

45057114 is a wasteful number, since it uses less digits than its factorization.

45057114 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 532 (or 526 counting only the distinct ones).

The product of its (nonzero) digits is 2800, while the sum is 27.

The square root of 45057114 is about 6712.4596088170. The cubic root of 45057114 is about 355.8397471301.

The spelling of 45057114 in words is "forty-five million, fifty-seven thousand, one hundred fourteen".

Divisors: 1 2 3 6 9 18 27 41 47 54 82 94 123 141 246 282 369 423 433 738 846 866 1107 1269 1299 1927 2214 2538 2598 3854 3897 5781 7794 11562 11691 17343 17753 20351 23382 34686 35506 40702 52029 53259 61053 104058 106518 122106 159777 183159 319554 366318 479331 549477 834391 958662 1098954 1668782 2503173 5006346 7509519 15019038 22528557 45057114