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66418408 = 23710111743
BaseRepresentation
bin1111110101011…
…1011011101000
311121222101221001
43331113123220
5114000342113
610331324344
71434355450
oct375273350
9147871831
1066418408
1134545151
121a2b06b4
13109b6544
148b6cd60
155c6e7dd
hex3f576e8

66418408 has 32 divisors (see below), whose sum is σ = 143746560. Its totient is φ = 28180800.

The previous prime is 66418403. The next prime is 66418409. The reversal of 66418408 is 80481466.

It is a super-2 number, since 2×664184082 = 8822809842508928, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (66418403) 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 7 ways as a sum of consecutive naturals, for example, 216 + ... + 11527.

It is an arithmetic number, because the mean of its divisors is an integer number (4492080).

Almost surely, 266418408 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 66418408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71873280).

66418408 is an abundant number, since it is smaller than the sum of its proper divisors (77328152).

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

66418408 is a wasteful number, since it uses less digits than its factorization.

66418408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11857 (or 11853 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 37.

The square root of 66418408 is about 8149.7489531887. The cubic root of 66418408 is about 404.9761871890.

The spelling of 66418408 in words is "sixty-six million, four hundred eighteen thousand, four hundred eight".

Divisors: 1 2 4 7 8 14 28 56 101 202 404 707 808 1414 2828 5656 11743 23486 46972 82201 93944 164402 328804 657608 1186043 2372086 4744172 8302301 9488344 16604602 33209204 66418408