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66240408 = 23313297321
BaseRepresentation
bin1111110010101…
…1111110011000
311121122100202110
43330223332120
5113424143113
610323432320
71433014503
oct374537630
9147570673
1066240408
1134433443
121a2256a0
1310953510
148b2413a
155c36bc3
hex3f2bf98

66240408 has 64 divisors (see below), whose sum is σ = 184514400. Its totient is φ = 19676160.

The previous prime is 66240401. The next prime is 66240439. The reversal of 66240408 is 80404266.

66240408 is nontrivially palindromic in base 11.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66240401) 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, 5388 + ... + 12708.

Almost surely, 266240408 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 66240408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92257200).

66240408 is an abundant number, since it is smaller than the sum of its proper divisors (118273992).

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

66240408 is a wasteful number, since it uses less digits than its factorization.

66240408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7372 (or 7368 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 30.

The square root of 66240408 is about 8138.8210448443. The cubic root of 66240408 is about 404.6140875058.

The spelling of 66240408 in words is "sixty-six million, two hundred forty thousand, four hundred eight".

Divisors: 1 2 3 4 6 8 12 13 24 26 29 39 52 58 78 87 104 116 156 174 232 312 348 377 696 754 1131 1508 2262 3016 4524 7321 9048 14642 21963 29284 43926 58568 87852 95173 175704 190346 212309 285519 380692 424618 571038 636927 761384 849236 1142076 1273854 1698472 2284152 2547708 2760017 5095416 5520034 8280051 11040068 16560102 22080136 33120204 66240408