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66929742 = 232111917791
BaseRepresentation
bin1111111101010…
…0010001001110
311122221101100100
43333110101032
5114113222432
610350311530
71441615305
oct377242116
9148841310
1066929742
1134864340
121a4b85a6
1310b351c9
148c6343c
155d2107c
hex3fd444e

66929742 has 48 divisors (see below), whose sum is σ = 166533120. Its totient is φ = 19213200.

The previous prime is 66929591. The next prime is 66929743. The reversal of 66929742 is 24792966.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66929743) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5134 + ... + 12657.

It is an arithmetic number, because the mean of its divisors is an integer number (3469440).

Almost surely, 266929742 is an apocalyptic number.

66929742 is an abundant number, since it is smaller than the sum of its proper divisors (99603378).

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

66929742 is a wasteful number, since it uses less digits than its factorization.

66929742 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17829 (or 17826 counting only the distinct ones).

The product of its digits is 326592, while the sum is 45.

The square root of 66929742 is about 8181.0599557759. The cubic root of 66929742 is about 406.0127921099.

The spelling of 66929742 in words is "sixty-six million, nine hundred twenty-nine thousand, seven hundred forty-two".

Divisors: 1 2 3 6 9 11 18 19 22 33 38 57 66 99 114 171 198 209 342 418 627 1254 1881 3762 17791 35582 53373 106746 160119 195701 320238 338029 391402 587103 676058 1014087 1174206 1761309 2028174 3042261 3522618 3718319 6084522 7436638 11154957 22309914 33464871 66929742