Search a number
-
+
66275384 = 23717431619
BaseRepresentation
bin1111110011010…
…0100000111000
311121201010201212
43330310200320
5113431303014
610324302252
71433221460
oct374644070
9147633655
1066275384
113445774a
121a241988
1310966406
148b32ba0
155c4223e
hex3f34838

66275384 has 64 divisors (see below), whose sum is σ = 153964800. Its totient is φ = 26095104.

The previous prime is 66275383. The next prime is 66275423. The reversal of 66275384 is 48357266.

It is a happy number.

66275384 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

Together with 87689415 it forms a betrothed pair.

It is a hoax number, since the sum of its digits (41) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66275381) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 40127 + ... + 41745.

It is an arithmetic number, because the mean of its divisors is an integer number (2405700).

Almost surely, 266275384 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 66275384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76982400).

66275384 is an abundant number, since it is smaller than the sum of its proper divisors (87689416).

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

66275384 is a wasteful number, since it uses less digits than its factorization.

66275384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1692 (or 1688 counting only the distinct ones).

The product of its digits is 241920, while the sum is 41.

The square root of 66275384 is about 8140.9694754372. The cubic root of 66275384 is about 404.6852892223.

The spelling of 66275384 in words is "sixty-six million, two hundred seventy-five thousand, three hundred eighty-four".

Divisors: 1 2 4 7 8 14 17 28 34 43 56 68 86 119 136 172 238 301 344 476 602 731 952 1204 1462 1619 2408 2924 3238 5117 5848 6476 10234 11333 12952 20468 22666 27523 40936 45332 55046 69617 90664 110092 139234 192661 220184 278468 385322 487319 556936 770644 974638 1183489 1541288 1949276 2366978 3898552 4733956 8284423 9467912 16568846 33137692 66275384