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64688208 = 24313831249
BaseRepresentation
bin1111011011000…
…1000001010000
311111201111112120
43312301001100
5113030010313
610230254240
71413561234
oct366610120
9144644476
1064688208
1133573232
12197b7380
131052bb60
14883c5c4
155a2bd23
hex3db1050

64688208 has 80 divisors (see below), whose sum is σ = 182280000. Its totient is φ = 19648512.

The previous prime is 64688191. The next prime is 64688209. The reversal of 64688208 is 80288646.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 64688208.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (64688209) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 51168 + ... + 52416.

It is an arithmetic number, because the mean of its divisors is an integer number (2278500).

Almost surely, 264688208 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 64688208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91140000).

64688208 is an abundant number, since it is smaller than the sum of its proper divisors (117591792).

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

64688208 is a wasteful number, since it uses less digits than its factorization.

64688208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1356 (or 1350 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 42.

The square root of 64688208 is about 8042.8979851792. The cubic root of 64688208 is about 401.4286579330.

The spelling of 64688208 in words is "sixty-four million, six hundred eighty-eight thousand, two hundred eight".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 39 48 52 78 83 104 156 166 208 249 312 332 498 624 664 996 1079 1249 1328 1992 2158 2498 3237 3747 3984 4316 4996 6474 7494 8632 9992 12948 14988 16237 17264 19984 25896 29976 32474 48711 51792 59952 64948 97422 103667 129896 194844 207334 259792 311001 389688 414668 622002 779376 829336 1244004 1347671 1658672 2488008 2695342 4043013 4976016 5390684 8086026 10781368 16172052 21562736 32344104 64688208