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45409386 = 23114197173
BaseRepresentation
bin1010110100111…
…0010001101010
310011110000222010
42231032101222
543111100021
64301140350
71060654611
oct255162152
9104400863
1045409386
11236a5820
121325a6b6
13953ba79
146060878
153ebe976
hex2b4e46a

45409386 has 64 divisors (see below), whose sum is σ = 103130496. Its totient is φ = 13209600.

The previous prime is 45409369. The next prime is 45409387. The reversal of 45409386 is 68390454.

45409386 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (39) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is not an unprimeable number, because it can be changed into a prime (45409387) 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, 262396 + ... + 262568.

It is an arithmetic number, because the mean of its divisors is an integer number (1611414).

Almost surely, 245409386 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45409386, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51565248).

45409386 is an abundant number, since it is smaller than the sum of its proper divisors (57721110).

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

45409386 is a wasteful number, since it uses less digits than its factorization.

45409386 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 327.

The product of its (nonzero) digits is 103680, while the sum is 39.

The square root of 45409386 is about 6738.6486775911. The cubic root of 45409386 is about 356.7646999085.

The spelling of 45409386 in words is "forty-five million, four hundred nine thousand, three hundred eighty-six".

Divisors: 1 2 3 6 11 22 33 41 66 82 97 123 173 194 246 291 346 451 519 582 902 1038 1067 1353 1903 2134 2706 3201 3806 3977 5709 6402 7093 7954 11418 11931 14186 16781 21279 23862 33562 42558 43747 50343 78023 87494 100686 131241 156046 184591 234069 262482 369182 468138 553773 688021 1107546 1376042 2064063 4128126 7568231 15136462 22704693 45409386