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68485664 = 2513193853
BaseRepresentation
bin1000001010100…
…00001000100000
311202212102200002
410011100020200
5120013020124
610443515132
71461055442
oct405201040
9152772602
1068485664
1135727325
121ab28aa8
131125b480
14914a492
15602c0ae
hex4150220

68485664 has 48 divisors (see below), whose sum is σ = 146126232. Its totient is φ = 31408128.

The previous prime is 68485663. The next prime is 68485667. The reversal of 68485664 is 46658486.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 20322064 + 48163600 = 4508^2 + 6940^2 .

It is not an unprimeable number, because it can be changed into a prime (68485661) 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, 79862 + ... + 80714.

Almost surely, 268485664 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 68485664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73063116).

68485664 is an abundant number, since it is smaller than the sum of its proper divisors (77640568).

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

68485664 is a wasteful number, since it uses less digits than its factorization.

68485664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1069 (or 1061 counting only the distinct ones).

The product of its digits is 1105920, while the sum is 47.

The square root of 68485664 is about 8275.6065638719. The cubic root of 68485664 is about 409.1349279741.

The spelling of 68485664 in words is "sixty-eight million, four hundred eighty-five thousand, six hundred sixty-four".

Divisors: 1 2 4 8 13 16 26 32 52 104 193 208 386 416 772 853 1544 1706 2509 3088 3412 5018 6176 6824 10036 11089 13648 20072 22178 27296 40144 44356 80288 88712 164629 177424 329258 354848 658516 1317032 2140177 2634064 4280354 5268128 8560708 17121416 34242832 68485664