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75342208 = 272272593
BaseRepresentation
bin1000111110110…
…10000110000000
312020202210002011
410133122012000
5123241422313
611250502304
71603253404
oct437320600
9166683064
1075342208
113958a797
1221294994
13127bc2b6
14a013104
15693393d
hex47da180

75342208 has 32 divisors (see below), whose sum is σ = 150815160. Its totient is φ = 37490688.

The previous prime is 75342199. The next prime is 75342247. The reversal of 75342208 is 80224357.

It is a tau number, because it is divible by the number of its divisors (32).

It is a self number, because there is not a number n which added to its sum of digits gives 75342208.

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 3 ways as a sum of consecutive naturals, for example, 27760 + ... + 30352.

Almost surely, 275342208 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 75342208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75407580).

75342208 is an abundant number, since it is smaller than the sum of its proper divisors (75472952).

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

75342208 is a wasteful number, since it uses less digits than its factorization.

75342208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2834 (or 2822 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 31.

The square root of 75342208 is about 8679.9889400851. The cubic root of 75342208 is about 422.3567582762.

The spelling of 75342208 in words is "seventy-five million, three hundred forty-two thousand, two hundred eight".

Divisors: 1 2 4 8 16 32 64 128 227 454 908 1816 2593 3632 5186 7264 10372 14528 20744 29056 41488 82976 165952 331904 588611 1177222 2354444 4708888 9417776 18835552 37671104 75342208