Search a number
-
+
76821966 = 23313109433
BaseRepresentation
bin1001001010000…
…11010111001110
312100112221221000
410211003113032
5124131300331
611342321130
71621655514
oct445032716
9170487830
1076821966
113a400531
12218891a6
1312bb99b0
14a2ba4b4
156b270e6
hex49435ce

76821966 has 32 divisors (see below), whose sum is σ = 183849120. Its totient is φ = 23637312.

The previous prime is 76821911. The next prime is 76821989. The reversal of 76821966 is 66912867.

It is a super-2 number, since 2×768219662 = 11803228920210312, which contains 22 as substring.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 54015 + ... + 55418.

It is an arithmetic number, because the mean of its divisors is an integer number (5745285).

Almost surely, 276821966 is an apocalyptic number.

76821966 is an abundant number, since it is smaller than the sum of its proper divisors (107027154).

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

76821966 is a wasteful number, since it uses less digits than its factorization.

76821966 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109457 (or 109451 counting only the distinct ones).

The product of its digits is 217728, while the sum is 45.

The square root of 76821966 is about 8764.8140881595. The cubic root of 76821966 is about 425.1039487374.

Subtracting from 76821966 its reverse (66912867), we obtain a palindrome (9909099).

The spelling of 76821966 in words is "seventy-six million, eight hundred twenty-one thousand, nine hundred sixty-six".

Divisors: 1 2 3 6 9 13 18 26 27 39 54 78 117 234 351 702 109433 218866 328299 656598 984897 1422629 1969794 2845258 2954691 4267887 5909382 8535774 12803661 25607322 38410983 76821966