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75688038 = 23219321787
BaseRepresentation
bin1001000001011…
…10100001100110
312021102100110200
410200232201212
5123334004123
611302131330
71606223556
oct440564146
9167370420
1075688038
11397a65a8
1221420b46
13128b082a
14a0a3166
1569a1143
hex482e866

75688038 has 24 divisors (see below), whose sum is σ = 164848008. Its totient is φ = 25097472.

The previous prime is 75688027. The next prime is 75688043. The reversal of 75688038 is 83088657.

75688038 is a `hidden beast` number, since 7 + 568 + 80 + 3 + 8 = 666.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 75687984 and 75688002.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7420 + ... + 14367.

It is an arithmetic number, because the mean of its divisors is an integer number (6868667).

Almost surely, 275688038 is an apocalyptic number.

75688038 is an abundant number, since it is smaller than the sum of its proper divisors (89159970).

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

75688038 is a wasteful number, since it uses less digits than its factorization.

75688038 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21988 (or 21985 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The square root of 75688038 is about 8699.8872406486. The cubic root of 75688038 is about 423.0019951954.

The spelling of 75688038 in words is "seventy-five million, six hundred eighty-eight thousand, thirty-eight".

Divisors: 1 2 3 6 9 18 193 386 579 1158 1737 3474 21787 43574 65361 130722 196083 392166 4204891 8409782 12614673 25229346 37844019 75688038