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133482942 = 23219607643
BaseRepresentation
bin1111111010011…
…00100110111110
3100022011122011200
413331030212332
5233132423232
621125000330
73210405045
oct775144676
9308148150
10133482942
116939078a
12388530a6
1321867bb8
1413a2955c
15baba77c
hex7f4c9be

133482942 has 48 divisors (see below), whose sum is σ = 305410560. Its totient is φ = 42017616.

The previous prime is 133482941. The next prime is 133482959. The reversal of 133482942 is 249284331.

133482942 is a `hidden beast` number, since 133 + 482 + 9 + 42 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 133482897 and 133482906.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133482941) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 207273 + ... + 207915.

It is an arithmetic number, because the mean of its divisors is an integer number (6362720).

Almost surely, 2133482942 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 133482942, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152705280).

133482942 is an abundant number, since it is smaller than the sum of its proper divisors (171927618).

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

133482942 is a wasteful number, since it uses less digits than its factorization.

133482942 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1277 (or 1274 counting only the distinct ones).

The product of its digits is 41472, while the sum is 36.

The square root of 133482942 is about 11553.4818128562. The cubic root of 133482942 is about 511.0639610605.

It can be divided in two parts, 13348 and 2942, that added together give a triangular number (16290 = T180).

The spelling of 133482942 in words is "one hundred thirty-three million, four hundred eighty-two thousand, nine hundred forty-two".

Divisors: 1 2 3 6 9 18 19 38 57 114 171 342 607 643 1214 1286 1821 1929 3642 3858 5463 5787 10926 11533 11574 12217 23066 24434 34599 36651 69198 73302 103797 109953 207594 219906 390301 780602 1170903 2341806 3512709 7025418 7415719 14831438 22247157 44494314 66741471 133482942