Search a number
-
+
63676536 = 23371134457
BaseRepresentation
bin1111001011101…
…0000001111000
311102211002210020
43302322001320
5112300122121
610152450440
71402145610
oct362720170
9142732706
1063676536
1132a42140
12193a9a20
1310266531
148657a40
1558cc1c6
hex3cba078

63676536 has 64 divisors (see below), whose sum is σ = 198478080. Its totient is φ = 16538880.

The previous prime is 63676499. The next prime is 63676537. The reversal of 63676536 is 63567636.

It is a happy number.

63676536 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (63676537) 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, 15381 + ... + 19076.

It is an arithmetic number, because the mean of its divisors is an integer number (3101220).

Almost surely, 263676536 is an apocalyptic number.

63676536 is a gapful number since it is divisible by the number (66) formed by its first and last digit.

It is an amenable number.

63676536 is an abundant number, since it is smaller than the sum of its proper divisors (134801544).

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

63676536 is a wasteful number, since it uses less digits than its factorization.

63676536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34484 (or 34480 counting only the distinct ones).

The product of its digits is 408240, while the sum is 42.

The square root of 63676536 is about 7979.7578910641. The cubic root of 63676536 is about 399.3249781713.

Subtracting from 63676536 its reverse (63567636), we obtain a square (108900 = 3302).

The spelling of 63676536 in words is "sixty-three million, six hundred seventy-six thousand, five hundred thirty-six".

Divisors: 1 2 3 4 6 7 8 11 12 14 21 22 24 28 33 42 44 56 66 77 84 88 132 154 168 231 264 308 462 616 924 1848 34457 68914 103371 137828 206742 241199 275656 379027 413484 482398 723597 758054 826968 964796 1137081 1447194 1516108 1929592 2274162 2653189 2894388 3032216 4548324 5306378 5788776 7959567 9096648 10612756 15919134 21225512 31838268 63676536