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66442796 = 22731411867
BaseRepresentation
bin1111110101110…
…1011000101100
311122000122101022
43331131120230
5114002132141
610332033312
71434516530
oct375353054
9148018338
1066442796
1134561502
121a302838
13109c4684
148b77bc0
155c76b4b
hex3f5d62c

66442796 has 48 divisors (see below), whose sum is σ = 140593152. Its totient is φ = 26870400.

The previous prime is 66442693. The next prime is 66442801. The reversal of 66442796 is 69724466.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 34655 + ... + 36521.

It is an arithmetic number, because the mean of its divisors is an integer number (2929024).

Almost surely, 266442796 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 66442796, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70296576).

66442796 is an abundant number, since it is smaller than the sum of its proper divisors (74150356).

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

66442796 is a wasteful number, since it uses less digits than its factorization.

66442796 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1950 (or 1948 counting only the distinct ones).

The product of its digits is 435456, while the sum is 44.

The square root of 66442796 is about 8151.2450582718. The cubic root of 66442796 is about 405.0257485027.

The spelling of 66442796 in words is "sixty-six million, four hundred forty-two thousand, seven hundred ninety-six".

Divisors: 1 2 4 7 14 28 31 41 62 82 124 164 217 287 434 574 868 1148 1271 1867 2542 3734 5084 7468 8897 13069 17794 26138 35588 52276 57877 76547 115754 153094 231508 306188 405139 535829 810278 1071658 1620556 2143316 2372957 4745914 9491828 16610699 33221398 66442796