Search a number
-
+
8149125 = 35331701
BaseRepresentation
bin11111000101100010000101
3120100000111110
4133011202011
54041233000
6450355233
7126160245
oct37054205
916300443
108149125
114666616
12288bb19
1318c428a
141121b25
15aae850
hex7c5885

8149125 has 32 divisors (see below), whose sum is σ = 14017536. Its totient is φ = 4200000.

The previous prime is 8149123. The next prime is 8149129. The reversal of 8149125 is 5219418.

It is a happy number.

It is not a de Polignac number, because 8149125 - 21 = 8149123 is a prime.

It is a Smith number, since the sum of its digits (30) coincides with the sum of the digits of its prime factors.

8149125 is a lucky number.

It is a junction number, because it is equal to n+sod(n) for n = 8149092 and 8149101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8149123) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 11275 + ... + 11975.

It is an arithmetic number, because the mean of its divisors is an integer number (438048).

Almost surely, 28149125 is an apocalyptic number.

It is an amenable number.

8149125 is a deficient number, since it is larger than the sum of its proper divisors (5868411).

8149125 is a wasteful number, since it uses less digits than its factorization.

8149125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 750 (or 740 counting only the distinct ones).

The product of its digits is 2880, while the sum is 30.

The square root of 8149125 is about 2854.6672310446. The cubic root of 8149125 is about 201.2350656973.

The spelling of 8149125 in words is "eight million, one hundred forty-nine thousand, one hundred twenty-five".

Divisors: 1 3 5 15 25 31 75 93 125 155 375 465 701 775 2103 2325 3505 3875 10515 11625 17525 21731 52575 65193 87625 108655 262875 325965 543275 1629825 2716375 8149125