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133790844 = 223112813607
BaseRepresentation
bin1111111100101…
…11110001111100
3100022202021112110
413332113301330
5233222301334
621135334020
73213126525
oct776276174
9308667473
10133790844
1169581050
1238981310
13219450a5
1413aa984c
15bb2bae9
hex7f97c7c

133790844 has 48 divisors (see below), whose sum is σ = 341865216. Its totient is φ = 40387200.

The previous prime is 133790809. The next prime is 133790861. The reversal of 133790844 is 448097331.

133790844 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

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, 35289 + ... + 38895.

It is an arithmetic number, because the mean of its divisors is an integer number (7122192).

Almost surely, 2133790844 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 133790844, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170932608).

133790844 is an abundant number, since it is smaller than the sum of its proper divisors (208074372).

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

133790844 is a wasteful number, since it uses less digits than its factorization.

133790844 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3906 (or 3904 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 39.

The square root of 133790844 is about 11566.7992115364. The cubic root of 133790844 is about 511.4566124289.

The spelling of 133790844 in words is "one hundred thirty-three million, seven hundred ninety thousand, eight hundred forty-four".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 132 281 562 843 1124 1686 3091 3372 3607 6182 7214 9273 10821 12364 14428 18546 21642 37092 39677 43284 79354 119031 158708 238062 476124 1013567 2027134 3040701 4054268 6081402 11149237 12162804 22298474 33447711 44596948 66895422 133790844