Search a number
-
+
32693628 = 223112331063
BaseRepresentation
bin111110010110…
…1110101111100
32021112000020010
41330231311330
531332144003
63124423220
7544614462
oct174556574
967460203
1032693628
1117500230
12ab47b10
136a09056
1444b0832
152d0c003
hex1f2dd7c

32693628 has 48 divisors (see below), whose sum is σ = 83655936. Its totient is φ = 9855360.

The previous prime is 32693593. The next prime is 32693629. The reversal of 32693628 is 82639623.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (32693629) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 30225 + ... + 31287.

It is an arithmetic number, because the mean of its divisors is an integer number (1742832).

Almost surely, 232693628 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 32693628, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41827968).

32693628 is an abundant number, since it is smaller than the sum of its proper divisors (50962308).

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

32693628 is a wasteful number, since it uses less digits than its factorization.

32693628 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1314 (or 1312 counting only the distinct ones).

The product of its digits is 93312, while the sum is 39.

The square root of 32693628 is about 5717.8342053613. The cubic root of 32693628 is about 319.7577202563.

The spelling of 32693628 in words is "thirty-two million, six hundred ninety-three thousand, six hundred twenty-eight".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 132 233 466 699 932 1063 1398 2126 2563 2796 3189 4252 5126 6378 7689 10252 11693 12756 15378 23386 30756 35079 46772 70158 140316 247679 495358 743037 990716 1486074 2724469 2972148 5448938 8173407 10897876 16346814 32693628