Base | Representation |
---|---|
bin | 1011110010010… |
… | …0010111000000 |
3 | 10110000101221211 |
4 | 2330210113000 |
5 | 100123311000 |
6 | 4523255504 |
7 | 1140110422 |
oct | 274442700 |
9 | 113011854 |
10 | 49432000 |
11 | 259a2aa2 |
12 | 1467a594 |
13 | a319a07 |
14 | 67ca812 |
15 | 45167ba |
hex | 2f245c0 |
49432000 has 112 divisors (see below), whose sum is σ = 126479808. Its totient is φ = 19123200.
The previous prime is 49431989. The next prime is 49432001. The reversal of 49432000 is 23494.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (49432001) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (11) of ones.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 295917 + ... + 296083.
It is an arithmetic number, because the mean of its divisors is an integer number (1129284).
Almost surely, 249432000 is an apocalyptic number.
49432000 is a gapful number since it is divisible by the number (40) 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 49432000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63239904).
49432000 is an abundant number, since it is smaller than the sum of its proper divisors (77047808).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
49432000 is a wasteful number, since it uses less digits than its factorization.
49432000 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 231 (or 211 counting only the distinct ones).
The product of its (nonzero) digits is 864, while the sum is 22.
The square root of 49432000 is about 7030.7894293600. The cubic root of 49432000 is about 367.0028138682.
Adding to 49432000 its reverse (23494), we get a palindrome (49455494).
The spelling of 49432000 in words is "forty-nine million, four hundred thirty-two thousand".
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