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75075825 = 352111753101
BaseRepresentation
bin1000111100110…
…01000011110001
312020021020200010
410132121003301
5123204411300
611241045133
71601063646
oct436310361
9166236603
1075075825
1139418640
12211867a9
1312727c86
149d83dcd
1568cea50
hex47990f1

75075825 has 96 divisors (see below), whose sum is σ = 147526272. Its totient is φ = 33280000.

The previous prime is 75075817. The next prime is 75075827. The reversal of 75075825 is 52857057.

It is not a de Polignac number, because 75075825 - 23 = 75075817 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (75075827) 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 95 ways as a sum of consecutive naturals, for example, 743275 + ... + 743375.

It is an arithmetic number, because the mean of its divisors is an integer number (1536732).

Almost surely, 275075825 is an apocalyptic number.

75075825 is a gapful number since it is divisible by the number (75) formed by its first and last digit.

It is an amenable number.

75075825 is a deficient number, since it is larger than the sum of its proper divisors (72450447).

75075825 is a wasteful number, since it uses less digits than its factorization.

75075825 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 195 (or 190 counting only the distinct ones).

The product of its (nonzero) digits is 98000, while the sum is 39.

The square root of 75075825 is about 8664.6306903410. The cubic root of 75075825 is about 421.8584031880.

The spelling of 75075825 in words is "seventy-five million, seventy-five thousand, eight hundred twenty-five".

Divisors: 1 3 5 11 15 17 25 33 51 53 55 75 85 101 159 165 187 255 265 275 303 425 505 561 583 795 825 901 935 1111 1275 1325 1515 1717 1749 2525 2703 2805 2915 3333 3975 4505 4675 5151 5353 5555 7575 8585 8745 9911 13515 14025 14575 16059 16665 18887 22525 25755 26765 27775 29733 42925 43725 49555 56661 58883 67575 80295 83325 91001 94435 128775 133825 148665 176649 247775 273003 283305 294415 401475 455005 472175 743325 883245 1001011 1365015 1416525 1472075 2275025 3003033 4416225 5005055 6825075 15015165 25025275 75075825