Search a number
-
+
63232 = 281319
BaseRepresentation
bin1111011100000000
310012201221
433130000
54010412
61204424
7352231
oct173400
9105657
1063232
1143564
1230714
1322a20
1419088
1513b07
hexf700

63232 has 36 divisors (see below), whose sum is σ = 143080. Its totient is φ = 27648.

The previous prime is 63211. The next prime is 63241. The reversal of 63232 is 23236.

It is a hoax number, since the sum of its digits (16) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a d-powerful number, because it can be written as 6 + 34 + 211 + 310 + 211 .

It is an alternating number because its digits alternate between even and odd.

It is a nialpdrome in base 16.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 3319 + ... + 3337.

263232 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 63232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71540).

63232 is an abundant number, since it is smaller than the sum of its proper divisors (79848).

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

63232 is a wasteful number, since it uses less digits than its factorization.

63232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48 (or 34 counting only the distinct ones).

The product of its digits is 216, while the sum is 16.

The square root of 63232 is about 251.4597383280. The cubic root of 63232 is about 39.8393556989.

Adding to 63232 its reverse (23236), we get a palindrome (86468).

The spelling of 63232 in words is "sixty-three thousand, two hundred thirty-two".

Divisors: 1 2 4 8 13 16 19 26 32 38 52 64 76 104 128 152 208 247 256 304 416 494 608 832 988 1216 1664 1976 2432 3328 3952 4864 7904 15808 31616 63232