Base | Representation |
---|---|
bin | 1011110001101… |
… | …0111000000000 |
3 | 10102221102200000 |
4 | 2330122320000 |
5 | 100121040102 |
6 | 4522400000 |
7 | 1136556234 |
oct | 274327000 |
9 | 112842600 |
10 | 49393152 |
11 | 25976896 |
12 | 14660000 |
13 | a305123 |
14 | 67ba5c4 |
15 | 450a01c |
hex | 2f1ae00 |
49393152 has 120 divisors (see below), whose sum is σ = 148204056. Its totient is φ = 16422912.
The previous prime is 49393147. The next prime is 49393153. The reversal of 49393152 is 25139394.
It is a happy number.
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 (49393153) 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 11 ways as a sum of consecutive naturals, for example, 124218 + ... + 124614.
Almost surely, 249393152 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 49393152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74102028).
49393152 is an abundant number, since it is smaller than the sum of its proper divisors (98810904).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
49393152 is an frugal number, since it uses more digits than its factorization.
49393152 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 430 (or 402 counting only the distinct ones).
The product of its digits is 29160, while the sum is 36.
The square root of 49393152 is about 7028.0261809416. The cubic root of 49393152 is about 366.9066476747.
The spelling of 49393152 in words is "forty-nine million, three hundred ninety-three thousand, one hundred fifty-two".
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