Search a number
-
+
63395046 = 232112132239
BaseRepresentation
bin1111000111010…
…1010011100110
311102021210122200
43301311103212
5112212120141
610142435330
71366564131
oct361652346
9142253580
1063395046
113286a700
1219292b46
1310198380
1485c3218
155873ab6
hex3c754e6

63395046 has 72 divisors (see below), whose sum is σ = 162664320. Its totient is φ = 17724960.

The previous prime is 63395041. The next prime is 63395053. The reversal of 63395046 is 64059336.

It is a self number, because there is not a number n which added to its sum of digits gives 63395046.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (63395041) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 27195 + ... + 29433.

Almost surely, 263395046 is an apocalyptic number.

63395046 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 63395046, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81332160).

63395046 is an abundant number, since it is smaller than the sum of its proper divisors (99269274).

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

63395046 is a wasteful number, since it uses less digits than its factorization.

63395046 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2282 (or 2268 counting only the distinct ones).

The product of its (nonzero) digits is 58320, while the sum is 36.

The square root of 63395046 is about 7962.1006022280. The cubic root of 63395046 is about 398.7356871597.

The spelling of 63395046 in words is "sixty-three million, three hundred ninety-five thousand, forty-six".

Divisors: 1 2 3 6 9 11 13 18 22 26 33 39 66 78 99 117 121 143 198 234 242 286 363 429 726 858 1089 1287 1573 2178 2239 2574 3146 4478 4719 6717 9438 13434 14157 20151 24629 28314 29107 40302 49258 58214 73887 87321 147774 174642 221661 261963 270919 320177 443322 523926 541838 640354 812757 960531 1625514 1921062 2438271 2881593 3521947 4876542 5763186 7043894 10565841 21131682 31697523 63395046