Search a number
-
+
125350578 = 235972659
BaseRepresentation
bin1110111100010…
…11001010110010
322201212110200000
413132023022302
5224042204303
620234410430
73051314403
oct736131262
9281773600
10125350578
1164836821
1235b90a16
131cc7b452
141290d9aa
15b010da3
hex778b2b2

125350578 has 48 divisors (see below), whose sum is σ = 284662560. Its totient is φ = 41337216.

The previous prime is 125350573. The next prime is 125350579. The reversal of 125350578 is 875053521.

It is not an unprimeable number, because it can be changed into a prime (125350573) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 45813 + ... + 48471.

It is an arithmetic number, because the mean of its divisors is an integer number (5930470).

Almost surely, 2125350578 is an apocalyptic number.

125350578 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 125350578, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142331280).

125350578 is an abundant number, since it is smaller than the sum of its proper divisors (159311982).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

125350578 is an equidigital number, since it uses as much as digits as its factorization.

125350578 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2773 (or 2761 counting only the distinct ones).

The product of its (nonzero) digits is 42000, while the sum is 36.

The square root of 125350578 is about 11196.0072347244. The cubic root of 125350578 is about 500.4670010176.

It can be divided in two parts, 125 and 350578, that added together give a triangular number (350703 = T837).

The spelling of 125350578 in words is "one hundred twenty-five million, three hundred fifty thousand, five hundred seventy-eight".

Divisors: 1 2 3 6 9 18 27 54 81 97 162 194 243 291 486 582 873 1746 2619 2659 5238 5318 7857 7977 15714 15954 23571 23931 47142 47862 71793 143586 215379 257923 430758 515846 646137 773769 1292274 1547538 2321307 4642614 6963921 13927842 20891763 41783526 62675289 125350578