Search a number
-
+
8257125 = 35397227
BaseRepresentation
bin11111011111111001100101
3120112111122110
4133133321211
54103212000
6452551233
7130120152
oct37377145
916474573
108257125
11472a778
122922519
131931496
14114d229
15ad1850
hex7dfe65

8257125 has 32 divisors (see below), whose sum is σ = 13942656. Its totient is φ = 4339200.

The previous prime is 8257057. The next prime is 8257157. The reversal of 8257125 is 5217528.

It is not a de Polignac number, because 8257125 - 29 = 8256613 is a prime.

It is a super-2 number, since 2×82571252 = 136360226531250, which contains 22 as substring.

8257125 is a lucky number.

It is a junction number, because it is equal to n+sod(n) for n = 8257092 and 8257101.

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 31 ways as a sum of consecutive naturals, for example, 36262 + ... + 36488.

It is an arithmetic number, because the mean of its divisors is an integer number (435708).

Almost surely, 28257125 is an apocalyptic number.

It is an amenable number.

8257125 is a deficient number, since it is larger than the sum of its proper divisors (5685531).

8257125 is a wasteful number, since it uses less digits than its factorization.

8257125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 342 (or 332 counting only the distinct ones).

The product of its digits is 5600, while the sum is 30.

The square root of 8257125 is about 2873.5213588905. The cubic root of 8257125 is about 202.1201536573.

The spelling of 8257125 in words is "eight million, two hundred fifty-seven thousand, one hundred twenty-five".

Divisors: 1 3 5 15 25 75 97 125 227 291 375 485 681 1135 1455 2425 3405 5675 7275 12125 17025 22019 28375 36375 66057 85125 110095 330285 550475 1651425 2752375 8257125