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433142112 = 25313347069
BaseRepresentation
bin11001110100010…
…011100101100000
31010012000220021110
4121310103211200
51341341021422
6110551423320
713506434664
oct3164234540
91105026243
10433142112
11202552097
12101084b40
136b976810
14417508a4
152805d60c
hex19d13960

433142112 has 48 divisors (see below), whose sum is σ = 1224462960. Its totient is φ = 133274112.

The previous prime is 433142093. The next prime is 433142117. The reversal of 433142112 is 211241334.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×4331421122 = 375224178375641088, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (433142117) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 172287 + ... + 174782.

It is an arithmetic number, because the mean of its divisors is an integer number (25509645).

Almost surely, 2433142112 is an apocalyptic number.

It is an amenable number.

433142112 is an abundant number, since it is smaller than the sum of its proper divisors (791320848).

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

433142112 is a wasteful number, since it uses less digits than its factorization.

433142112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 347095 (or 347087 counting only the distinct ones).

The product of its digits is 576, while the sum is 21.

The square root of 433142112 is about 20812.0664999899. The cubic root of 433142112 is about 756.6182339661.

Adding to 433142112 its reverse (211241334), we get a palindrome (644383446).

The spelling of 433142112 in words is "four hundred thirty-three million, one hundred forty-two thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 78 96 104 156 208 312 416 624 1248 347069 694138 1041207 1388276 2082414 2776552 4164828 4511897 5553104 8329656 9023794 11106208 13535691 16659312 18047588 27071382 33318624 36095176 54142764 72190352 108285528 144380704 216571056 433142112