Search a number
-
+
33189048 = 2333198087
BaseRepresentation
bin111111010011…
…0110010111000
32022110011211000
41332212302320
531444022143
63143205000
7552050034
oct176466270
968404730
1033189048
1117809472
12b146760
136b506b9
14459d1c4
152da8bd3
hex1fa6cb8

33189048 has 64 divisors (see below), whose sum is σ = 97056000. Its totient is φ = 10479456.

The previous prime is 33189031. The next prime is 33189059. The reversal of 33189048 is 84098133.

It is a super-2 number, since 2×331890482 = 2203025814292608, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 61 + ... + 8147.

It is an arithmetic number, because the mean of its divisors is an integer number (1516500).

Almost surely, 233189048 is an apocalyptic number.

33189048 is a gapful number since it is divisible by the number (38) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 33189048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48528000).

33189048 is an abundant number, since it is smaller than the sum of its proper divisors (63866952).

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

33189048 is a wasteful number, since it uses less digits than its factorization.

33189048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8121 (or 8111 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 33189048 is about 5760.9936642909. The cubic root of 33189048 is about 321.3647700669.

The spelling of 33189048 in words is "thirty-three million, one hundred eighty-nine thousand, forty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 19 24 27 36 38 54 57 72 76 108 114 152 171 216 228 342 456 513 684 1026 1368 2052 4104 8087 16174 24261 32348 48522 64696 72783 97044 145566 153653 194088 218349 291132 307306 436698 460959 582264 614612 873396 921918 1229224 1382877 1746792 1843836 2765754 3687672 4148631 5531508 8297262 11063016 16594524 33189048