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66798844 = 22747193263
BaseRepresentation
bin1111111011010…
…0010011111100
311122200201210021
43332310103330
5114100030334
610343421524
71440531550
oct376642374
9148621707
1066798844
1134784a62
121a4548a4
1310aba758
148c2b860
155ce73b4
hex3fb44fc

66798844 has 48 divisors (see below), whose sum is σ = 137668608. Its totient is φ = 27767808.

The previous prime is 66798821. The next prime is 66798847. The reversal of 66798844 is 44889766.

It is a happy number.

Its product of digits (2322432) is a multiple of the sum of its prime divisors (512).

It is a junction number, because it is equal to n+sod(n) for n = 66798791 and 66798800.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66798847) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 253857 + ... + 254119.

It is an arithmetic number, because the mean of its divisors is an integer number (2868096).

Almost surely, 266798844 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 66798844, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68834304).

66798844 is an abundant number, since it is smaller than the sum of its proper divisors (70869764).

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

66798844 is a wasteful number, since it uses less digits than its factorization.

66798844 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 514 (or 512 counting only the distinct ones).

The product of its digits is 2322432, while the sum is 52.

The square root of 66798844 is about 8173.0559768057. The cubic root of 66798844 is about 405.7479325445.

The spelling of 66798844 in words is "sixty-six million, seven hundred ninety-eight thousand, eight hundred forty-four".

Divisors: 1 2 4 7 14 28 47 94 188 193 263 329 386 526 658 772 1052 1316 1351 1841 2702 3682 5404 7364 9071 12361 18142 24722 36284 49444 50759 63497 86527 101518 126994 173054 203036 253988 346108 355313 710626 1421252 2385673 4771346 9542692 16699711 33399422 66798844