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133778892 = 223131137589
BaseRepresentation
bin1111111100101…
…00110111001100
3100022201200010210
413332110313030
5233221411032
621135202420
73213046632
oct776246714
9308650123
10133778892
1169573075
1238976410
132193c810
1413aa5352
15bb282cc
hex7f94dcc

133778892 has 48 divisors (see below), whose sum is σ = 339181920. Its totient is φ = 40793088.

The previous prime is 133778849. The next prime is 133778921. The reversal of 133778892 is 298877331.

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, 13834 + ... + 21422.

It is an arithmetic number, because the mean of its divisors is an integer number (7066290).

Almost surely, 2133778892 is an apocalyptic number.

133778892 is a gapful number since it is divisible by the number (12) 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 133778892, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169590960).

133778892 is an abundant number, since it is smaller than the sum of its proper divisors (205403028).

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

133778892 is a wasteful number, since it uses less digits than its factorization.

133778892 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7722 (or 7720 counting only the distinct ones).

The product of its digits is 508032, while the sum is 48.

The square root of 133778892 is about 11566.2825488573. The cubic root of 133778892 is about 511.4413819111.

The spelling of 133778892 in words is "one hundred thirty-three million, seven hundred seventy-eight thousand, eight hundred ninety-two".

Divisors: 1 2 3 4 6 12 13 26 39 52 78 113 156 226 339 452 678 1356 1469 2938 4407 5876 7589 8814 15178 17628 22767 30356 45534 91068 98657 197314 295971 394628 591942 857557 1183884 1715114 2572671 3430228 5145342 10290684 11148241 22296482 33444723 44592964 66889446 133778892