Search a number
-
+
73625625 = 33544363
BaseRepresentation
bin1000110001101…
…11000000011001
312010112120101000
410120313000121
5122322010000
611150015213
71552543653
oct430670031
9163476330
1073625625
1138618027
12207a7509
131233ab78
149ac76d3
1566e5000
hex4637019

73625625 has 40 divisors (see below), whose sum is σ = 136331360. Its totient is φ = 39258000.

The previous prime is 73625611. The next prime is 73625647. The reversal of 73625625 is 52652637.

It is a happy number.

73625625 is a `hidden beast` number, since 7 + 3 + 6 + 25 + 625 = 666.

It is not a de Polignac number, because 73625625 - 25 = 73625593 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 73625625.

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 39 ways as a sum of consecutive naturals, for example, 14694 + ... + 19056.

It is an arithmetic number, because the mean of its divisors is an integer number (3408284).

Almost surely, 273625625 is an apocalyptic number.

73625625 is a gapful number since it is divisible by the number (75) formed by its first and last digit.

It is an amenable number.

73625625 is a deficient number, since it is larger than the sum of its proper divisors (62705735).

73625625 is an equidigital number, since it uses as much as digits as its factorization.

73625625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4392 (or 4371 counting only the distinct ones).

The product of its digits is 75600, while the sum is 36.

The square root of 73625625 is about 8580.5375705721. The cubic root of 73625625 is about 419.1244515760.

The spelling of 73625625 in words is "seventy-three million, six hundred twenty-five thousand, six hundred twenty-five".

Divisors: 1 3 5 9 15 25 27 45 75 125 135 225 375 625 675 1125 1875 3375 4363 5625 13089 16875 21815 39267 65445 109075 117801 196335 327225 545375 589005 981675 1636125 2726875 2945025 4908375 8180625 14725125 24541875 73625625