Search a number
-
+
232632828 = 223217894271
BaseRepresentation
bin11011101110110…
…11000111111100
3121012201222020200
431313123013330
5434023222303
635030043500
75523226551
oct1567330774
9535658220
10232632828
1110a35153a
1265aa9590
133927177c
1422c78a28
15156533a3
hexdddb1fc

232632828 has 72 divisors (see below), whose sum is σ = 629778240. Its totient is φ = 72145920.

The previous prime is 232632821. The next prime is 232632857. The reversal of 232632828 is 828236232.

232632828 is a `hidden beast` number, since 2 + 326 + 328 + 2 + 8 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 232632792 and 232632801.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (232632821) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 52333 + ... + 56603.

It is an arithmetic number, because the mean of its divisors is an integer number (8746920).

Almost surely, 2232632828 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 232632828, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (314889120).

232632828 is an abundant number, since it is smaller than the sum of its proper divisors (397145412).

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

232632828 is a wasteful number, since it uses less digits than its factorization.

232632828 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4387 (or 4382 counting only the distinct ones).

The product of its digits is 55296, while the sum is 36.

The square root of 232632828 is about 15252.3056617680. The cubic root of 232632828 is about 615.0215499092.

The spelling of 232632828 in words is "two hundred thirty-two million, six hundred thirty-two thousand, eight hundred twenty-eight".

Divisors: 1 2 3 4 6 9 12 17 18 34 36 51 68 89 102 153 178 204 267 306 356 534 612 801 1068 1513 1602 3026 3204 4271 4539 6052 8542 9078 12813 13617 17084 18156 25626 27234 38439 51252 54468 72607 76878 145214 153756 217821 290428 380119 435642 653463 760238 871284 1140357 1306926 1520476 2280714 2613852 3421071 4561428 6462023 6842142 12924046 13684284 19386069 25848092 38772138 58158207 77544276 116316414 232632828