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45166122 = 2323773929
BaseRepresentation
bin1010110001001…
…0111000101010
310010222200021100
42230102320222
543030303442
64252022230
71055622441
oct254227052
9103880240
1045166122
1123549a81
1213161976
139485121
145dd9d58
153e7284c
hex2b12e2a

45166122 has 48 divisors (see below), whose sum is σ = 101991240. Its totient is φ = 14432256.

The previous prime is 45166103. The next prime is 45166139. The reversal of 45166122 is 22166154.

45166122 is a `hidden beast` number, since 45 + 1 + 6 + 612 + 2 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 36469521 + 8696601 = 6039^2 + 2949^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 48154 + ... + 49082.

Almost surely, 245166122 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45166122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50995620).

45166122 is an abundant number, since it is smaller than the sum of its proper divisors (56825118).

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

45166122 is a wasteful number, since it uses less digits than its factorization.

45166122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1047 (or 1044 counting only the distinct ones).

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

The square root of 45166122 is about 6720.5745290116. The cubic root of 45166122 is about 356.1264805392.

The spelling of 45166122 in words is "forty-five million, one hundred sixty-six thousand, one hundred twenty-two".

Divisors: 1 2 3 6 9 18 37 73 74 111 146 219 222 333 438 657 666 929 1314 1858 2701 2787 5402 5574 8103 8361 16206 16722 24309 34373 48618 67817 68746 103119 135634 203451 206238 309357 406902 610353 618714 1220706 2509229 5018458 7527687 15055374 22583061 45166122