Search a number
-
+
125048 = 23721129
BaseRepresentation
bin11110100001111000
320100112102
4132201320
513000143
62402532
71030400
oct364170
9210472
10125048
1185a50
1260448
1344bc1
1433800
15270b8
hex1e878

125048 has 48 divisors (see below), whose sum is σ = 307800. Its totient is φ = 47040.

The previous prime is 125029. The next prime is 125053. The reversal of 125048 is 840521.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 125048.

It is an unprimeable number.

125048 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4298 + ... + 4326.

125048 is a Friedman number, since it can be written as 50^(2+1)+48, using all its digits and the basic arithmetic operations.

2125048 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 125048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153900).

125048 is an abundant number, since it is smaller than the sum of its proper divisors (182752).

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

125048 is a wasteful number, since it uses less digits than its factorization.

125048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60 (or 49 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 20.

The square root of 125048 is about 353.6212663288. The cubic root of 125048 is about 50.0063991810.

Adding to 125048 its reverse (840521), we get a palindrome (965569).

The spelling of 125048 in words is "one hundred twenty-five thousand, forty-eight".

Divisors: 1 2 4 7 8 11 14 22 28 29 44 49 56 58 77 88 98 116 154 196 203 232 308 319 392 406 539 616 638 812 1078 1276 1421 1624 2156 2233 2552 2842 4312 4466 5684 8932 11368 15631 17864 31262 62524 125048