Base | Representation |
---|---|
bin | 111100000000… |
… | …0001000110100 |
3 | 2012012020001100 |
4 | 1320000020310 |
5 | 31023122334 |
6 | 3042130100 |
7 | 531246555 |
oct | 170001064 |
9 | 65166040 |
10 | 31457844 |
11 | 16836820 |
12 | a650930 |
13 | 6695712 |
14 | 426c32c |
15 | 2b65c99 |
hex | 1e00234 |
31457844 has 144 divisors (see below), whose sum is σ = 94610880. Its totient is φ = 8709120.
The previous prime is 31457843. The next prime is 31457849. The reversal of 31457844 is 44875413.
It is a super-3 number, since 3×314578443 (a number of 23 digits) contains 333 as substring.
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a junction number, because it is equal to n+sod(n) for n = 31457799 and 31457808.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (31457843) by changing a digit.
It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 278332 + ... + 278444.
It is an arithmetic number, because the mean of its divisors is an integer number (657020).
Almost surely, 231457844 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 31457844, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47305440).
31457844 is an abundant number, since it is smaller than the sum of its proper divisors (63153036).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
31457844 is a wasteful number, since it uses less digits than its factorization.
31457844 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 190 (or 185 counting only the distinct ones).
The product of its digits is 53760, while the sum is 36.
The square root of 31457844 is about 5608.7292678467. The cubic root of 31457844 is about 315.6770320910.
Subtracting 31457844 from its reverse (44875413), we obtain a square (13417569 = 36632).
The spelling of 31457844 in words is "thirty-one million, four hundred fifty-seven thousand, eight hundred forty-four".
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