Search a number
-
+
63914076 = 2233976101
BaseRepresentation
bin1111001111010…
…0000001011100
311110021011122000
43303310001130
5112330222301
610201522300
71404155262
oct363640134
9143234560
1063914076
1133094656
12194a3390
131031a6a5
1486ba432
155927786
hex3cf405c

63914076 has 48 divisors (see below), whose sum is σ = 167438880. Its totient is φ = 21081600.

The previous prime is 63914069. The next prime is 63914077. The reversal of 63914076 is 67041936.

63914076 is a `hidden beast` number, since 639 + 14 + 0 + 7 + 6 = 666.

63914076 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×639140762 = 8170018221867552, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 63914076.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (63914077) 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 15 ways as a sum of consecutive naturals, for example, 7426 + ... + 13526.

It is an arithmetic number, because the mean of its divisors is an integer number (3488310).

Almost surely, 263914076 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 63914076, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83719440).

63914076 is an abundant number, since it is smaller than the sum of its proper divisors (103524804).

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

63914076 is a wasteful number, since it uses less digits than its factorization.

63914076 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6211 (or 6203 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 36.

The square root of 63914076 is about 7994.6279463150. The cubic root of 63914076 is about 399.8209114969.

The spelling of 63914076 in words is "sixty-three million, nine hundred fourteen thousand, seventy-six".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 97 108 194 291 388 582 873 1164 1746 2619 3492 5238 6101 10476 12202 18303 24404 36606 54909 73212 109818 164727 219636 329454 591797 658908 1183594 1775391 2367188 3550782 5326173 7101564 10652346 15978519 21304692 31957038 63914076