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75448125 = 335417263
BaseRepresentation
bin1000111111100…
…11111100111101
312020222011101000
410133303330331
5123303320000
611253040513
71604204244
oct437637475
9166864330
1075448125
1139652325
1221326139
131282857c
14a03d95b
156955000
hex47f3f3d

75448125 has 80 divisors (see below), whose sum is σ = 148452480. Its totient is φ = 37728000.

The previous prime is 75448117. The next prime is 75448127. The reversal of 75448125 is 52184457.

It is not a de Polignac number, because 75448125 - 23 = 75448117 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 75448125.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (75448127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 286744 + ... + 287006.

It is an arithmetic number, because the mean of its divisors is an integer number (1855656).

Almost surely, 275448125 is an apocalyptic number.

75448125 is a gapful number since it is divisible by the number (75) formed by its first and last digit.

It is an amenable number.

75448125 is a deficient number, since it is larger than the sum of its proper divisors (73004355).

75448125 is a wasteful number, since it uses less digits than its factorization.

75448125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 309 (or 288 counting only the distinct ones).

The product of its digits is 44800, while the sum is 36.

The square root of 75448125 is about 8686.0880147509. The cubic root of 75448125 is about 422.5545837069.

The spelling of 75448125 in words is "seventy-five million, four hundred forty-eight thousand, one hundred twenty-five".

Divisors: 1 3 5 9 15 17 25 27 45 51 75 85 125 135 153 225 255 263 375 425 459 625 675 765 789 1125 1275 1315 1875 2125 2295 2367 3375 3825 3945 4471 5625 6375 6575 7101 10625 11475 11835 13413 16875 19125 19725 22355 31875 32875 35505 40239 57375 59175 67065 95625 98625 111775 120717 164375 177525 201195 286875 295875 335325 493125 558875 603585 887625 1005975 1479375 1676625 2794375 3017925 4438125 5029875 8383125 15089625 25149375 75448125