| Base | Representation |
|---|---|
| bin | 1110111111011… |
| … | …11011011100000 |
| 3 | 22202122100000000 |
| 4 | 13133233123200 |
| 5 | 224143324443 |
| 6 | 20251300000 |
| 7 | 3054644604 |
| oct | 737573340 |
| 9 | 282570000 |
| 10 | 125761248 |
| 11 | 64a97318 |
| 12 | 3614a600 |
| 13 | 20093352 |
| 14 | 129b9504 |
| 15 | b0928d3 |
| hex | 77ef6e0 |
125761248 has 108 divisors (see below), whose sum is σ = 371989800. Its totient is φ = 41850432.
The previous prime is 125761243. The next prime is 125761253. The reversal of 125761248 is 842167521.
It is an interprime number because it is at equal distance from previous prime (125761243) and next prime (125761253).
It is a tau number, because it is divible by the number of its divisors (108).
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (125761243) by changing a digit.
It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 209653 + ... + 210251.
It is an arithmetic number, because the mean of its divisors is an integer number (3444350).
Almost surely, 2125761248 is an apocalyptic number.
125761248 is a gapful number since it is divisible by the number (18) formed by its first and last digit.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 125761248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185994900).
125761248 is an abundant number, since it is smaller than the sum of its proper divisors (246228552).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
125761248 is an frugal number, since it uses more digits than its factorization.
125761248 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 633 (or 604 counting only the distinct ones).
The product of its digits is 26880, while the sum is 36.
The square root of 125761248 is about 11214.3322583202. The cubic root of 125761248 is about 501.0129438371.
It can be divided in two parts, 12576 and 1248, that added together give a cube (13824 = 243).
The spelling of 125761248 in words is "one hundred twenty-five million, seven hundred sixty-one thousand, two hundred forty-eight".
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