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45384786 = 234416833
BaseRepresentation
bin1010110100100…
…0010001010010
310011101210020000
42231020101102
543104303121
64300430430
71060523106
oct255102122
9104353200
1045384786
1123689297
1213248416
139530805
146055906
153eb7526
hex2b48452

45384786 has 40 divisors (see below), whose sum is σ = 104191164. Its totient is φ = 14757120.

The previous prime is 45384769. The next prime is 45384809. The reversal of 45384786 is 68748354.

It can be written as a sum of positive squares in 2 ways, for example, as 35176761 + 10208025 = 5931^2 + 3195^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 3226 + ... + 10058.

Almost surely, 245384786 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45384786, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52095582).

45384786 is an abundant number, since it is smaller than the sum of its proper divisors (58806378).

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

45384786 is a wasteful number, since it uses less digits than its factorization.

45384786 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6888 (or 6879 counting only the distinct ones).

The product of its digits is 645120, while the sum is 45.

The square root of 45384786 is about 6736.8231385424. The cubic root of 45384786 is about 356.7002639133.

The spelling of 45384786 in words is "forty-five million, three hundred eighty-four thousand, seven hundred eighty-six".

Divisors: 1 2 3 6 9 18 27 41 54 81 82 123 162 246 369 738 1107 2214 3321 6642 6833 13666 20499 40998 61497 122994 184491 280153 368982 553473 560306 840459 1106946 1680918 2521377 5042754 7564131 15128262 22692393 45384786