Search a number
-
+
32442116 = 22721031607
BaseRepresentation
bin111101111000…
…0011100000100
32021001020012212
41323300130010
531301121431
63115202552
7542516300
oct173603404
967036185
1032442116
1117349273
12aa46458
13694b725
144446d00
152cac72b
hex1ef0704

32442116 has 36 divisors (see below), whose sum is σ = 66725568. Its totient is φ = 13760208.

The previous prime is 32442107. The next prime is 32442119. The reversal of 32442116 is 61124423.

It is a junction number, because it is equal to n+sod(n) for n = 32442091 and 32442100.

It is not an unprimeable number, because it can be changed into a prime (32442119) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 19385 + ... + 20991.

It is an arithmetic number, because the mean of its divisors is an integer number (1853488).

Almost surely, 232442116 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 32442116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33362784).

32442116 is an abundant number, since it is smaller than the sum of its proper divisors (34283452).

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

32442116 is a wasteful number, since it uses less digits than its factorization.

32442116 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1728 (or 1719 counting only the distinct ones).

The product of its digits is 1152, while the sum is 23.

The square root of 32442116 is about 5695.7981003543. The cubic root of 32442116 is about 318.9356434410.

Adding to 32442116 its reverse (61124423), we get a palindrome (93566539).

The spelling of 32442116 in words is "thirty-two million, four hundred forty-two thousand, one hundred sixteen".

Divisors: 1 2 4 7 14 28 49 98 103 196 206 412 721 1442 1607 2884 3214 5047 6428 10094 11249 20188 22498 44996 78743 157486 165521 314972 331042 662084 1158647 2317294 4634588 8110529 16221058 32442116