Search a number
-
+
63868050 = 23252711999
BaseRepresentation
bin1111001110100…
…0110010010010
311110011211111100
43303220302102
5112322234200
610200525230
71403604141
oct363506222
9143154440
1063868050
1133063014
1219480816
131030275c
1486a7758
155918d00
hex3ce8c92

63868050 has 72 divisors (see below), whose sum is σ = 174096000. Its totient is φ = 16783200.

The previous prime is 63868043. The next prime is 63868061. The reversal of 63868050 is 5086836.

63868050 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 63867996 and 63868014.

It is a congruent number.

It is an unprimeable number.

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 35 ways as a sum of consecutive naturals, for example, 30951 + ... + 32949.

It is an arithmetic number, because the mean of its divisors is an integer number (2418000).

Almost surely, 263868050 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 63868050, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87048000).

63868050 is an abundant number, since it is smaller than the sum of its proper divisors (110227950).

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

63868050 is a wasteful number, since it uses less digits than its factorization.

63868050 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2088 (or 2080 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 63868050 is about 7991.7488699283. The cubic root of 63868050 is about 399.7249150307.

The spelling of 63868050 in words is "sixty-three million, eight hundred sixty-eight thousand, fifty".

Divisors: 1 2 3 5 6 9 10 15 18 25 30 45 50 71 75 90 142 150 213 225 355 426 450 639 710 1065 1278 1775 1999 2130 3195 3550 3998 5325 5997 6390 9995 10650 11994 15975 17991 19990 29985 31950 35982 49975 59970 89955 99950 141929 149925 179910 283858 299850 425787 449775 709645 851574 899550 1277361 1419290 2128935 2554722 3548225 4257870 6386805 7096450 10644675 12773610 21289350 31934025 63868050