Search a number
-
+
79946664 = 23374671019
BaseRepresentation
bin1001100001111…
…10001110101000
312120102201012120
410300332032220
5130431243124
611533311240
71660351440
oct460761650
9176381176
1079946664
1141145126
1222935520
1313742025
14a891120
157042d79
hex4c3e3a8

79946664 has 64 divisors (see below), whose sum is σ = 229132800. Its totient is φ = 22770624.

The previous prime is 79946663. The next prime is 79946683. The reversal of 79946664 is 46664997.

It is not an unprimeable number, because it can be changed into a prime (79946663) 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, 77947 + ... + 78965.

It is an arithmetic number, because the mean of its divisors is an integer number (3580200).

Almost surely, 279946664 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 79946664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114566400).

79946664 is an abundant number, since it is smaller than the sum of its proper divisors (149186136).

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

79946664 is a wasteful number, since it uses less digits than its factorization.

79946664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1502 (or 1498 counting only the distinct ones).

The product of its digits is 1959552, while the sum is 51.

The square root of 79946664 is about 8941.2898398385. The cubic root of 79946664 is about 430.7911592775.

The spelling of 79946664 in words is "seventy-nine million, nine hundred forty-six thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 168 467 934 1019 1401 1868 2038 2802 3057 3269 3736 4076 5604 6114 6538 7133 8152 9807 11208 12228 13076 14266 19614 21399 24456 26152 28532 39228 42798 57064 78456 85596 171192 475873 951746 1427619 1903492 2855238 3331111 3806984 5710476 6662222 9993333 11420952 13324444 19986666 26648888 39973332 79946664