Search a number
-
+
63669888 = 27352389
BaseRepresentation
bin1111001011100…
…0011010000000
311102210202200000
43302320122000
5112244414023
610152400000
71402120332
oct362703200
9142722600
1063669888
1132a38147
12193a6000
13102634b9
148655452
1558ca243
hex3cb8680

63669888 has 192 divisors, whose sum is σ = 200491200. Its totient is φ = 20072448.

The previous prime is 63669887. The next prime is 63669901. The reversal of 63669888 is 88896636.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (63669887) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 715348 + ... + 715436.

It is an arithmetic number, because the mean of its divisors is an integer number (1044225).

Almost surely, 263669888 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 63669888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100245600).

63669888 is an abundant number, since it is smaller than the sum of its proper divisors (136821312).

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

63669888 is an equidigital number, since it uses as much as digits as its factorization.

63669888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 141 (or 117 counting only the distinct ones).

The product of its digits is 2985984, while the sum is 54.

The square root of 63669888 is about 7979.3413261998. The cubic root of 63669888 is about 399.3110808238.

The spelling of 63669888 in words is "sixty-three million, six hundred sixty-nine thousand, eight hundred eighty-eight".