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133536042 = 2327418669
BaseRepresentation
bin1111111010110…
…01100100101010
3100022021100000100
413331121210222
5233141123132
621130050230
73211015623
oct775314452
9308240010
10133536042
1169417672
1238879976
1321886113
1413a40a4a
15bacb37c
hex7f5992a

133536042 has 12 divisors (see below), whose sum is σ = 289328130. Its totient is φ = 44512008.

The previous prime is 133536041. The next prime is 133536059. The reversal of 133536042 is 240635331.

It is a happy number.

133536042 is a `hidden beast` number, since 1 + 3 + 3 + 53 + 604 + 2 = 666.

It can be written as a sum of positive squares in only one way, i.e., 118396161 + 15139881 = 10881^2 + 3891^2 .

It is a junction number, because it is equal to n+sod(n) for n = 133535997 and 133536015.

It is not an unprimeable number, because it can be changed into a prime (133536041) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 3709317 + ... + 3709352.

Almost surely, 2133536042 is an apocalyptic number.

133536042 is an abundant number, since it is smaller than the sum of its proper divisors (155792088).

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

133536042 is a wasteful number, since it uses less digits than its factorization.

133536042 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7418677 (or 7418674 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 27.

The square root of 133536042 is about 11555.7795929137. The cubic root of 133536042 is about 511.1317197774.

The spelling of 133536042 in words is "one hundred thirty-three million, five hundred thirty-six thousand, forty-two".

Divisors: 1 2 3 6 9 18 7418669 14837338 22256007 44512014 66768021 133536042