Search a number
-
+
32996128 = 251193739
BaseRepresentation
bin111110111011…
…1101100100000
32022002101011211
41331313230200
531421334003
63135115504
7550314424
oct175675440
968071154
1032996128
1117697530
12b072b94
136ab3949
14454cb84
152d6b96d
hex1f77b20

32996128 has 24 divisors (see below), whose sum is σ = 70867440. Its totient is φ = 14998080.

The previous prime is 32996111. The next prime is 32996129. The reversal of 32996128 is 82169923.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (32996129) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 46518 + ... + 47221.

It is an arithmetic number, because the mean of its divisors is an integer number (2952810).

Almost surely, 232996128 is an apocalyptic number.

It is an amenable number.

32996128 is an abundant number, since it is smaller than the sum of its proper divisors (37871312).

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

32996128 is a wasteful number, since it uses less digits than its factorization.

32996128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93760 (or 93752 counting only the distinct ones).

The product of its digits is 46656, while the sum is 40.

The square root of 32996128 is about 5744.2256223098. The cubic root of 32996128 is about 320.7408874857.

It can be divided in two parts, 32996 and 128, that added together give a square (33124 = 1822).

The spelling of 32996128 in words is "thirty-two million, nine hundred ninety-six thousand, one hundred twenty-eight".

Divisors: 1 2 4 8 11 16 22 32 44 88 176 352 93739 187478 374956 749912 1031129 1499824 2062258 2999648 4124516 8249032 16498064 32996128