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45350766 = 2342711033
BaseRepresentation
bin1010110011111…
…1111101101110
310011100001120000
42230333331232
543102211031
64300005130
71060321656
oct254777556
9104301500
1045350766
112366577a
12132307a6
13951b196
146047366
153eac3e6
hex2b3ff6e

45350766 has 40 divisors (see below), whose sum is σ = 102093024. Its totient is φ = 15046560.

The previous prime is 45350743. The next prime is 45350803. The reversal of 45350766 is 66705354.

It is a self number, because there is not a number n which added to its sum of digits gives 45350766.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 43386 + ... + 44418.

Almost surely, 245350766 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45350766, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51046512).

45350766 is an abundant number, since it is smaller than the sum of its proper divisors (56742258).

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

45350766 is a wasteful number, since it uses less digits than its factorization.

45350766 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1318 (or 1309 counting only the distinct ones).

The product of its (nonzero) digits is 75600, while the sum is 36.

The square root of 45350766 is about 6734.2977362157. The cubic root of 45350766 is about 356.6111152698.

The spelling of 45350766 in words is "forty-five million, three hundred fifty thousand, seven hundred sixty-six".

Divisors: 1 2 3 6 9 18 27 54 81 162 271 542 813 1033 1626 2066 2439 3099 4878 6198 7317 9297 14634 18594 21951 27891 43902 55782 83673 167346 279943 559886 839829 1679658 2519487 5038974 7558461 15116922 22675383 45350766