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133361352 = 23321852241
BaseRepresentation
bin1111111001011…
…10111011001000
3100021221110101100
413330232323020
5233120030402
621122221400
73206360415
oct774567310
9307843340
10133361352
11693083a3
12387b4860
1321824757
14139d710c
15ba9471c
hex7f2eec8

133361352 has 24 divisors (see below), whose sum is σ = 361187190. Its totient is φ = 44453760.

The previous prime is 133361351. The next prime is 133361353. The reversal of 133361352 is 253163331.

It is a happy number.

133361352 is a `hidden beast` number, since 13 + 33 + 613 + 5 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (133361351) and next prime (133361353).

It can be written as a sum of positive squares in only one way, i.e., 128459556 + 4901796 = 11334^2 + 2214^2 .

It is a tau number, because it is divible by the number of its divisors (24).

It is not an unprimeable number, because it can be changed into a prime (133361351) by changing a digit.

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 5 ways as a sum of consecutive naturals, for example, 926049 + ... + 926192.

Almost surely, 2133361352 is an apocalyptic number.

133361352 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

133361352 is an abundant number, since it is smaller than the sum of its proper divisors (227825838).

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

133361352 is a wasteful number, since it uses less digits than its factorization.

133361352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1852253 (or 1852246 counting only the distinct ones).

The product of its digits is 4860, while the sum is 27.

The square root of 133361352 is about 11548.2185639171. The cubic root of 133361352 is about 510.9087373703.

The spelling of 133361352 in words is "one hundred thirty-three million, three hundred sixty-one thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 1852241 3704482 5556723 7408964 11113446 14817928 16670169 22226892 33340338 44453784 66680676 133361352