Search a number
-
+
66295944 = 2332111347137
BaseRepresentation
bin1111110011100…
…1100010001000
311121202011221100
43330321202020
5113432432234
610324541400
71433335431
oct374714210
9147664840
1066295944
1134471140
121a251860
1310972890
148b3a488
155c48399
hex3f39888

66295944 has 192 divisors, whose sum is σ = 217002240. Its totient is φ = 18017280.

The previous prime is 66295939. The next prime is 66295961. The reversal of 66295944 is 44959266.

66295944 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×662959442 = 8790304381702272, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 66295944.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 483844 + ... + 483980.

It is an arithmetic number, because the mean of its divisors is an integer number (1130220).

Almost surely, 266295944 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 66295944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108501120).

66295944 is an abundant number, since it is smaller than the sum of its proper divisors (150706296).

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

66295944 is a wasteful number, since it uses less digits than its factorization.

66295944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 220 (or 213 counting only the distinct ones).

The product of its digits is 466560, while the sum is 45.

The square root of 66295944 is about 8142.2321263889. The cubic root of 66295944 is about 404.7271321551.

The spelling of 66295944 in words is "sixty-six million, two hundred ninety-five thousand, nine hundred forty-four".