Search a number
-
+
66361992 = 2332325227
BaseRepresentation
bin1111110100100…
…1101010001000
311121212112112120
43331021222020
5113442040432
610330211240
71434032124
oct375115210
9147775476
1066361992
1134506824
121a283b20
1310996968
148b56584
155c5cc2c
hex3f49a88

66361992 has 48 divisors (see below), whose sum is σ = 173465040. Its totient is φ = 21154848.

The previous prime is 66361991. The next prime is 66361993. The reversal of 66361992 is 29916366.

66361992 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (66361991) and next prime (66361993).

It is not an unprimeable number, because it can be changed into a prime (66361991) 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 11 ways as a sum of consecutive naturals, for example, 10083 + ... + 15309.

It is an arithmetic number, because the mean of its divisors is an integer number (3613855).

Almost surely, 266361992 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 66361992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86732520).

66361992 is an abundant number, since it is smaller than the sum of its proper divisors (107103048).

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

66361992 is a wasteful number, since it uses less digits than its factorization.

66361992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5282 (or 5255 counting only the distinct ones).

The product of its digits is 104976, while the sum is 42.

The square root of 66361992 is about 8146.2870069744. The cubic root of 66361992 is about 404.8614920359.

The spelling of 66361992 in words is "sixty-six million, three hundred sixty-one thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 8 12 23 24 46 69 92 138 184 276 529 552 1058 1587 2116 3174 4232 5227 6348 10454 12696 15681 20908 31362 41816 62724 120221 125448 240442 360663 480884 721326 961768 1442652 2765083 2885304 5530166 8295249 11060332 16590498 22120664 33180996 66361992