Search a number
-
+
78606125 = 53132612
BaseRepresentation
bin1001010111101…
…10111100101101
312110220121022222
410223312330231
5130110344000
611444445125
71643066243
oct453667455
9173817288
1078606125
1140409a44
12223a97a5
1313392b00
14a622793
156d7aa85
hex4af6f2d

78606125 has 36 divisors (see below), whose sum is σ = 107997084. Its totient is φ = 57096000.

The previous prime is 78606109. The next prime is 78606131. The reversal of 78606125 is 52160687.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 18 ways, for example, as 36990724 + 41615401 = 6082^2 + 6451^2 .

It is not a de Polignac number, because 78606125 - 24 = 78606109 is a prime.

It is a congruent number.

It is an unprimeable number.

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 35 ways as a sum of consecutive naturals, for example, 1288595 + ... + 1288655.

It is an arithmetic number, because the mean of its divisors is an integer number (2999919).

Almost surely, 278606125 is an apocalyptic number.

It is an amenable number.

78606125 is a deficient number, since it is larger than the sum of its proper divisors (29390959).

78606125 is an equidigital number, since it uses as much as digits as its factorization.

78606125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 163 (or 79 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 35.

The square root of 78606125 is about 8866.0095307867. The cubic root of 78606125 is about 428.3697510087.

The spelling of 78606125 in words is "seventy-eight million, six hundred six thousand, one hundred twenty-five".

Divisors: 1 5 13 25 61 65 125 169 305 325 793 845 1525 1625 3721 3965 4225 7625 10309 18605 19825 21125 48373 51545 93025 99125 241865 257725 465125 628849 1209325 1288625 3144245 6046625 15721225 78606125