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75135328 = 254749957
BaseRepresentation
bin1000111101001…
…11100101100000
312020101021021221
410132213211200
5123213312303
611242224424
71601432302
oct436474540
9166337257
1075135328
1139459314
12211b5114
1312749098
149d9b972
1568e24bd
hex47a7960

75135328 has 24 divisors (see below), whose sum is σ = 151072992. Its totient is φ = 36767616.

The previous prime is 75135311. The next prime is 75135331. The reversal of 75135328 is 82353157.

It is a junction number, because it is equal to n+sod(n) for n = 75135293 and 75135302.

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 3 ways as a sum of consecutive naturals, for example, 23475 + ... + 26482.

It is an arithmetic number, because the mean of its divisors is an integer number (6294708).

Almost surely, 275135328 is an apocalyptic number.

It is an amenable number.

75135328 is an abundant number, since it is smaller than the sum of its proper divisors (75937664).

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

75135328 is a wasteful number, since it uses less digits than its factorization.

75135328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50014 (or 50006 counting only the distinct ones).

The product of its digits is 25200, while the sum is 34.

The square root of 75135328 is about 8668.0636822765. The cubic root of 75135328 is about 421.9698248154.

The spelling of 75135328 in words is "seventy-five million, one hundred thirty-five thousand, three hundred twenty-eight".

Divisors: 1 2 4 8 16 32 47 94 188 376 752 1504 49957 99914 199828 399656 799312 1598624 2347979 4695958 9391916 18783832 37567664 75135328