Base | Representation |
---|---|
bin | 1011101000001… |
… | …0101110000000 |
3 | 10101202202202100 |
4 | 2322002232000 |
5 | 44441114140 |
6 | 4501150400 |
7 | 1131352233 |
oct | 272025600 |
9 | 111682670 |
10 | 48769920 |
11 | 25590621 |
12 | 143bb400 |
13 | a147554 |
14 | 669741a |
15 | 4435530 |
hex | 2e82b80 |
48769920 has 96 divisors (see below), whose sum is σ = 168428520. Its totient is φ = 13003776.
The previous prime is 48769891. The next prime is 48769933. The reversal of 48769920 is 2996784.
It is a happy number.
It is a tau number, because it is divible by the number of its divisors (96).
It is a Harshad number since it is a multiple of its sum of digits (45).
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1527 + ... + 9993.
Almost surely, 248769920 is an apocalyptic number.
48769920 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 48769920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84214260).
48769920 is an abundant number, since it is smaller than the sum of its proper divisors (119658600).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
48769920 is a wasteful number, since it uses less digits than its factorization.
48769920 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 8492 (or 8477 counting only the distinct ones).
The product of its (nonzero) digits is 217728, while the sum is 45.
The square root of 48769920 is about 6983.5463770208. The cubic root of 48769920 is about 365.3569286387.
It can be divided in two parts, 487 and 69920, that added together give a palindrome (70407).
The spelling of 48769920 in words is "forty-eight million, seven hundred sixty-nine thousand, nine hundred twenty".
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