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66216408 = 23359101463
BaseRepresentation
bin1111110010011…
…0000111011000
311121121010211120
43330212013120
5113422411113
610323125240
71432554516
oct374460730
9147533746
1066216408
1134417405
121a213820
131094560b
148b194b6
155c2ea23
hex3f261d8

66216408 has 64 divisors (see below), whose sum is σ = 170380800. Its totient is φ = 21436800.

The previous prime is 66216407. The next prime is 66216413. The reversal of 66216408 is 80461266.

It is a happy number.

It is a super-2 number, since 2×662164082 = 8769225376844928, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66216401) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 142785 + ... + 143247.

It is an arithmetic number, because the mean of its divisors is an integer number (2662200).

Almost surely, 266216408 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 66216408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85190400).

66216408 is an abundant number, since it is smaller than the sum of its proper divisors (104164392).

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

66216408 is a wasteful number, since it uses less digits than its factorization.

66216408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 632 (or 628 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 33.

The square root of 66216408 is about 8137.3464962480. The cubic root of 66216408 is about 404.5652154682.

The spelling of 66216408 in words is "sixty-six million, two hundred sixteen thousand, four hundred eight".

Divisors: 1 2 3 4 6 8 12 24 59 101 118 177 202 236 303 354 404 463 472 606 708 808 926 1212 1389 1416 1852 2424 2778 3704 5556 5959 11112 11918 17877 23836 27317 35754 46763 47672 54634 71508 81951 93526 109268 140289 143016 163902 187052 218536 280578 327804 374104 561156 655608 1122312 2759017 5518034 8277051 11036068 16554102 22072136 33108204 66216408