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75225375 = 335331719
BaseRepresentation
bin1000111101111…
…01100100011111
312020112211211000
410132331210133
5123224203000
611244201343
71602255651
oct436754437
9166484730
1075225375
113950aa35
1221239253
131277b074
149dc26d1
15690e000
hex47bd91f

75225375 has 64 divisors (see below), whose sum is σ = 143769600. Its totient is φ = 38772000.

The previous prime is 75225373. The next prime is 75225379. The reversal of 75225375 is 57352257.

It is a happy number.

It is not a de Polignac number, because 75225375 - 21 = 75225373 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (75225373) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 104266 + ... + 104984.

It is an arithmetic number, because the mean of its divisors is an integer number (2246400).

Almost surely, 275225375 is an apocalyptic number.

75225375 is a gapful number since it is divisible by the number (75) formed by its first and last digit.

75225375 is a deficient number, since it is larger than the sum of its proper divisors (68544225).

75225375 is a wasteful number, since it uses less digits than its factorization.

75225375 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 774 (or 758 counting only the distinct ones).

The product of its digits is 73500, while the sum is 36.

The square root of 75225375 is about 8673.2563089073. The cubic root of 75225375 is about 422.1383294258.

The spelling of 75225375 in words is "seventy-five million, two hundred twenty-five thousand, three hundred seventy-five".

Divisors: 1 3 5 9 15 25 27 31 45 75 93 125 135 155 225 279 375 465 675 719 775 837 1125 1395 2157 2325 3375 3595 3875 4185 6471 6975 10785 11625 17975 19413 20925 22289 32355 34875 53925 66867 89875 97065 104625 111445 161775 200601 269625 334335 485325 557225 601803 808875 1003005 1671675 2426625 2786125 3009015 5015025 8358375 15045075 25075125 75225375