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125248 = 2619103
BaseRepresentation
bin11110100101000000
320100210211
4132211000
513001443
62403504
71031104
oct364500
9210724
10125248
1186112
1260594
1345016
1433904
152719d
hex1e940

125248 has 28 divisors (see below), whose sum is σ = 264160. Its totient is φ = 58752.

The previous prime is 125243. The next prime is 125261. The reversal of 125248 is 842521.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (125243) by changing a digit.

125248 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1165 + ... + 1267.

125248 is a Friedman number, since it can be written as 824*152, using all its digits and the basic arithmetic operations.

It is a vampire number, since it can be written as 152824 (with its own digits).

2125248 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 125248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132080).

125248 is an abundant number, since it is smaller than the sum of its proper divisors (138912).

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

125248 is a wasteful number, since it uses less digits than its factorization.

125248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134 (or 124 counting only the distinct ones).

The product of its digits is 640, while the sum is 22.

The square root of 125248 is about 353.9039417695. The cubic root of 125248 is about 50.0330448226.

Adding to 125248 its reverse (842521), we get a palindrome (967769).

It can be divided in two parts, 125 and 248, that added together give a palindrome (373).

The spelling of 125248 in words is "one hundred twenty-five thousand, two hundred forty-eight".

Divisors: 1 2 4 8 16 19 32 38 64 76 103 152 206 304 412 608 824 1216 1648 1957 3296 3914 6592 7828 15656 31312 62624 125248