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66484068 = 2237898893
BaseRepresentation
bin1111110110011…
…1011101100100
311122002201222220
43331213131210
5114004442233
610332552340
71435051050
oct375473544
9148081886
1066484068
113458a512
121a3226b0
1310a0a3b1
148b88c60
155c83eb3
hex3f67764

66484068 has 48 divisors (see below), whose sum is σ = 179303040. Its totient is φ = 18779904.

The previous prime is 66484051. The next prime is 66484069. The reversal of 66484068 is 86048466.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (66484069) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3030 + ... + 11922.

It is an arithmetic number, because the mean of its divisors is an integer number (3735480).

Almost surely, 266484068 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 66484068, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89651520).

66484068 is an abundant number, since it is smaller than the sum of its proper divisors (112818972).

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

66484068 is a wasteful number, since it uses less digits than its factorization.

66484068 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8996 (or 8994 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 42.

The square root of 66484068 is about 8153.7763030390. The cubic root of 66484068 is about 405.1095938740.

The spelling of 66484068 in words is "sixty-six million, four hundred eighty-four thousand, sixty-eight".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 84 89 178 267 356 534 623 1068 1246 1869 2492 3738 7476 8893 17786 26679 35572 53358 62251 106716 124502 186753 249004 373506 747012 791477 1582954 2374431 3165908 4748862 5540339 9497724 11080678 16621017 22161356 33242034 66484068