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68024008 = 23131933389
BaseRepresentation
bin1000000110111…
…11011011001000
311201222222101201
410003133123020
5114403232013
610425553544
71454123503
oct403373310
9151888351
1068024008
1135441498
121a9458b4
13111292c0
14906a13a
155e8a3dd
hex40df6c8

68024008 has 32 divisors (see below), whose sum is σ = 138108600. Its totient is φ = 31223808.

The previous prime is 68024003. The next prime is 68024017. The reversal of 68024008 is 80042086.

It can be written as a sum of positive squares in 4 ways, for example, as 56881764 + 11142244 = 7542^2 + 3338^2 .

It is not an unprimeable number, because it can be changed into a prime (68024003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 18378 + ... + 21766.

Almost surely, 268024008 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 68024008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69054300).

68024008 is an abundant number, since it is smaller than the sum of its proper divisors (70084592).

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

68024008 is a wasteful number, since it uses less digits than its factorization.

68024008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3601 (or 3597 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 28.

The square root of 68024008 is about 8247.6668215926. Note that the first 3 decimals coincide. The cubic root of 68024008 is about 408.2135400180.

The spelling of 68024008 in words is "sixty-eight million, twenty-four thousand, eight".

Divisors: 1 2 4 8 13 26 52 104 193 386 772 1544 2509 3389 5018 6778 10036 13556 20072 27112 44057 88114 176228 352456 654077 1308154 2616308 5232616 8503001 17006002 34012004 68024008