Base | Representation |
---|---|
bin | 11011001111011… |
… | …011111001010010 |
3 | 1011211222121000100 |
4 | 123033123321102 |
5 | 1414000000000 |
6 | 113203433230 |
7 | 14216462424 |
oct | 3317337122 |
9 | 1154877010 |
10 | 457031250 |
11 | 214a89385 |
12 | 109085816 |
13 | 738bc1c0 |
14 | 449ac814 |
15 | 2a1cba00 |
hex | 1b3dbe52 |
457031250 has 120 divisors (see below), whose sum is σ = 1333007676. Its totient is φ = 112500000.
The previous prime is 457031249. The next prime is 457031257. The reversal of 457031250 is 52130754.
It is a happy number.
It can be written as a sum of positive squares in 10 ways, for example, as 206410689 + 250620561 = 14367^2 + 15831^2 .
It is not an unprimeable number, because it can be changed into a prime (457031257) by changing a digit.
It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 35156244 + ... + 35156256.
Almost surely, 2457031250 is an apocalyptic number.
It is a practical number, because each smaller number is the sum of distinct divisors of 457031250, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (666503838).
457031250 is an abundant number, since it is smaller than the sum of its proper divisors (875976426).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
457031250 is an frugal number, since it uses more digits than its factorization.
457031250 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 66 (or 23 counting only the distinct ones).
The product of its (nonzero) digits is 4200, while the sum is 27.
The square root of 457031250 is about 21378.2892206088. The cubic root of 457031250 is about 770.2800184686.
The spelling of 457031250 in words is "four hundred fifty-seven million, thirty-one thousand, two hundred fifty".
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