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133428444 = 22317897349
BaseRepresentation
bin1111111001111…
…11010011011100
3100022001212102020
413330333103130
5233124202234
621123500140
73210060132
oct774772334
9308055366
10133428444
1169353846
1238827650
1321849156
1413a13752
15baa9549
hex7f3f4dc

133428444 has 48 divisors (see below), whose sum is σ = 333396000. Its totient is φ = 41383936.

The previous prime is 133428443. The next prime is 133428481. The reversal of 133428444 is 444824331.

It is a super-2 number, since 2×1334284442 = 35606299336522272, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133428443) 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 15 ways as a sum of consecutive naturals, for example, 14482 + ... + 21830.

It is an arithmetic number, because the mean of its divisors is an integer number (6945750).

Almost surely, 2133428444 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 133428444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166698000).

133428444 is an abundant number, since it is smaller than the sum of its proper divisors (199967556).

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

133428444 is a wasteful number, since it uses less digits than its factorization.

133428444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7462 (or 7460 counting only the distinct ones).

The product of its digits is 36864, while the sum is 33.

The square root of 133428444 is about 11551.1230622827. The cubic root of 133428444 is about 510.9943997252.

The spelling of 133428444 in words is "one hundred thirty-three million, four hundred twenty-eight thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 12 17 34 51 68 89 102 178 204 267 356 534 1068 1513 3026 4539 6052 7349 9078 14698 18156 22047 29396 44094 88188 124933 249866 374799 499732 654061 749598 1308122 1499196 1962183 2616244 3924366 7848732 11119037 22238074 33357111 44476148 66714222 133428444