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93033129 = 3717347751
BaseRepresentation
bin1011000101110…
…01001010101001
320111001120110110
411202321022221
5142304030004
613122004533
72206524420
oct542711251
9214046413
1093033129
1148573192
12271a6749
13163746b7
14c4da2b7
15827a589
hex58b92a9

93033129 has 32 divisors (see below), whose sum is σ = 150736896. Its totient is φ = 49824000.

The previous prime is 93033121. The next prime is 93033151. The reversal of 93033129 is 92133039.

It is not a de Polignac number, because 93033129 - 23 = 93033121 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 93033096 and 93033105.

It is not an unprimeable number, because it can be changed into a prime (93033121) 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 31 ways as a sum of consecutive naturals, for example, 123504 + ... + 124254.

It is an arithmetic number, because the mean of its divisors is an integer number (4710528).

Almost surely, 293033129 is an apocalyptic number.

It is an amenable number.

93033129 is a deficient number, since it is larger than the sum of its proper divisors (57703767).

93033129 is a wasteful number, since it uses less digits than its factorization.

93033129 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1125.

The product of its (nonzero) digits is 4374, while the sum is 30.

The square root of 93033129 is about 9645.3682666863. The cubic root of 93033129 is about 453.1192810947.

The spelling of 93033129 in words is "ninety-three million, thirty-three thousand, one hundred twenty-nine".

Divisors: 1 3 7 17 21 51 119 347 357 751 1041 2253 2429 5257 5899 7287 12767 15771 17697 38301 41293 89369 123879 260597 268107 781791 1824179 4430149 5472537 13290447 31011043 93033129