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401008068 = 223211139113
BaseRepresentation
bin10111111001101…
…110010111000100
31000221120022122200
4113321232113010
51310124224233
6103442554500
712636340506
oct2771562704
91027508580
10401008068
111963a432a
12b2368a30
13651053a6
143b387d76
1525312313
hex17e6e5c4

401008068 has 18 divisors (see below), whose sum is σ = 1013659374. Its totient is φ = 133669344.

The previous prime is 401008063. The next prime is 401008079. The reversal of 401008068 is 860800104.

It can be written as a sum of positive squares in only one way, i.e., 393943104 + 7064964 = 19848^2 + 2658^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is not an unprimeable number, because it can be changed into a prime (401008061) 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 5 ways as a sum of consecutive naturals, for example, 5569521 + ... + 5569592.

Almost surely, 2401008068 is an apocalyptic number.

It is an amenable number.

401008068 is an abundant number, since it is smaller than the sum of its proper divisors (612651306).

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

401008068 is a wasteful number, since it uses less digits than its factorization.

401008068 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11139123 (or 11139118 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 401008068 is about 20025.1858418343. The cubic root of 401008068 is about 737.4247395383.

The spelling of 401008068 in words is "four hundred one million, eight thousand, sixty-eight".

Divisors: 1 2 3 4 6 9 12 18 36 11139113 22278226 33417339 44556452 66834678 100252017 133669356 200504034 401008068