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66534208 = 2613211379
BaseRepresentation
bin1111110111001…
…1101101000000
311122012021202221
43331303231000
5114013043313
610334020424
71435350166
oct375635500
9148167687
1066534208
1134614154
121a347714
1310a27170
148b9d236
155c93c8d
hex3f73b40

66534208 has 56 divisors (see below), whose sum is σ = 143235680. Its totient is φ = 30481920.

The previous prime is 66534203. The next prime is 66534227. The reversal of 66534208 is 80243566.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66534203) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 175363 + ... + 175741.

It is an arithmetic number, because the mean of its divisors is an integer number (2557780).

Almost surely, 266534208 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 66534208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71617840).

66534208 is an abundant number, since it is smaller than the sum of its proper divisors (76701472).

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

66534208 is a wasteful number, since it uses less digits than its factorization.

66534208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 615 (or 605 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 34.

The square root of 66534208 is about 8156.8503725396. The cubic root of 66534208 is about 405.2114081960.

The spelling of 66534208 in words is "sixty-six million, five hundred thirty-four thousand, two hundred eight".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 208 211 379 416 422 758 832 844 1516 1688 2743 3032 3376 4927 5486 6064 6752 9854 10972 12128 13504 19708 21944 24256 39416 43888 78832 79969 87776 157664 159938 175552 315328 319876 639752 1039597 1279504 2079194 2559008 4158388 5118016 8316776 16633552 33267104 66534208