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63078906 = 23115997167
BaseRepresentation
bin1111000010100…
…0000111111010
311101200201222210
43300220013322
5112122011111
610131555550
71364106342
oct360500772
9141621883
1063078906
1132674130
121915bbb6
13100b74c7
14853dd22
1558100a6
hex3c281fa

63078906 has 64 divisors (see below), whose sum is σ = 142248960. Its totient is φ = 18485760.

The previous prime is 63078901. The next prime is 63078907. The reversal of 63078906 is 60987036.

63078906 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (63078901) 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 31 ways as a sum of consecutive naturals, for example, 377635 + ... + 377801.

It is an arithmetic number, because the mean of its divisors is an integer number (2222640).

Almost surely, 263078906 is an apocalyptic number.

63078906 is a gapful number since it is divisible by the number (66) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 63078906, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71124480).

63078906 is an abundant number, since it is smaller than the sum of its proper divisors (79170054).

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

63078906 is a wasteful number, since it uses less digits than its factorization.

63078906 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 339.

The product of its (nonzero) digits is 54432, while the sum is 39.

The square root of 63078906 is about 7942.2229885593. Note that the first 3 decimals coincide. The cubic root of 63078906 is about 398.0717739635.

The spelling of 63078906 in words is "sixty-three million, seventy-eight thousand, nine hundred six".

Divisors: 1 2 3 6 11 22 33 59 66 97 118 167 177 194 291 334 354 501 582 649 1002 1067 1298 1837 1947 2134 3201 3674 3894 5511 5723 6402 9853 11022 11446 16199 17169 19706 29559 32398 34338 48597 59118 62953 97194 108383 125906 178189 188859 216766 325149 356378 377718 534567 650298 955741 1069134 1911482 2867223 5734446 10513151 21026302 31539453 63078906