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75075104 = 2513251719
BaseRepresentation
bin1000111100110…
…00111000100000
312020021012200102
410132120320200
5123204400404
611241041532
71601061566
oct436307040
9166235612
1075075104
1139418045
12211862a8
1312727850
149d83a36
1568ce71e
hex4798e20

75075104 has 48 divisors (see below), whose sum is σ = 160030080. Its totient is φ = 34464000.

The previous prime is 75075073. The next prime is 75075127. The reversal of 75075104 is 40157057.

It is a super-2 number, since 2×750751042 = 11272542481221632, which contains 22 as substring.

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 7 ways as a sum of consecutive naturals, for example, 104057 + ... + 104775.

It is an arithmetic number, because the mean of its divisors is an integer number (3333960).

Almost surely, 275075104 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 75075104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80015040).

75075104 is an abundant number, since it is smaller than the sum of its proper divisors (84954976).

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

75075104 is a wasteful number, since it uses less digits than its factorization.

75075104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 993 (or 985 counting only the distinct ones).

The product of its (nonzero) digits is 4900, while the sum is 29.

The square root of 75075104 is about 8664.5890843132. The cubic root of 75075104 is about 421.8570527271.

The spelling of 75075104 in words is "seventy-five million, seventy-five thousand, one hundred four".

Divisors: 1 2 4 8 13 16 26 32 52 104 208 251 416 502 719 1004 1438 2008 2876 3263 4016 5752 6526 8032 9347 11504 13052 18694 23008 26104 37388 52208 74776 104416 149552 180469 299104 360938 721876 1443752 2346097 2887504 4692194 5775008 9384388 18768776 37537552 75075104