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333056142 = 23273325243
BaseRepresentation
bin10011110110100…
…000100010001110
3212012201000010200
4103312200202032
51140230244032
653014314330
711152634106
oct2366404216
9765630120
10333056142
11161002011
12936589a6
1354002b53
143233a206
151e38d47c
hex13da088e

333056142 has 24 divisors (see below), whose sum is σ = 722634744. Its totient is φ = 110862864.

The previous prime is 333056083. The next prime is 333056153. The reversal of 333056142 is 241650333.

333056142 = 2742 + 2752 + ... + 10062.

It is a happy number.

333056142 is a `hidden beast` number, since 33 + 30 + 561 + 42 = 666.

It is a super-2 number, since 2×3330561422 = 221852787447848328, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 573 + ... + 25815.

It is an arithmetic number, because the mean of its divisors is an integer number (30109781).

Almost surely, 2333056142 is an apocalyptic number.

333056142 is an abundant number, since it is smaller than the sum of its proper divisors (389578602).

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

333056142 is a wasteful number, since it uses less digits than its factorization.

333056142 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25984 (or 25981 counting only the distinct ones).

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

The square root of 333056142 is about 18249.8258073879. The cubic root of 333056142 is about 693.1690273155.

The spelling of 333056142 in words is "three hundred thirty-three million, fifty-six thousand, one hundred forty-two".

Divisors: 1 2 3 6 9 18 733 1466 2199 4398 6597 13194 25243 50486 75729 151458 227187 454374 18503119 37006238 55509357 111018714 166528071 333056142