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133085808 = 2433714339
BaseRepresentation
bin1111110111010…
…11101001110000
3100021102110102000
413323223221300
5233032221213
621112254000
73204132162
oct773535160
9307373360
10133085808
116913a379
12386a1300
13217591cb
1413964932
15ba3cc73
hex7eeba70

133085808 has 80 divisors (see below), whose sum is σ = 387475200. Its totient is φ = 43727040.

The previous prime is 133085791. The next prime is 133085837. The reversal of 133085808 is 808580331.

It is a happy number.

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 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, 28503 + ... + 32841.

It is an arithmetic number, because the mean of its divisors is an integer number (4843440).

Almost surely, 2133085808 is an apocalyptic number.

133085808 is a gapful number since it is divisible by the number (18) 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 133085808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193737600).

133085808 is an abundant number, since it is smaller than the sum of its proper divisors (254389392).

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

133085808 is a wasteful number, since it uses less digits than its factorization.

133085808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4427 (or 4415 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The square root of 133085808 is about 11536.2822434266. The cubic root of 133085808 is about 510.5566241023.

The spelling of 133085808 in words is "one hundred thirty-three million, eighty-five thousand, eight hundred eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 71 72 108 142 144 213 216 284 426 432 568 639 852 1136 1278 1704 1917 2556 3408 3834 4339 5112 7668 8678 10224 13017 15336 17356 26034 30672 34712 39051 52068 69424 78102 104136 117153 156204 208272 234306 308069 312408 468612 616138 624816 924207 937224 1232276 1848414 1874448 2464552 2772621 3696828 4929104 5545242 7393656 8317863 11090484 14787312 16635726 22180968 33271452 44361936 66542904 133085808