Base | Representation |
---|---|
bin | 1011101110011… |
… | …1111110000000 |
3 | 10102112211122100 |
4 | 2323213332000 |
5 | 100042402030 |
6 | 4514110400 |
7 | 1135030311 |
oct | 273477600 |
9 | 112484570 |
10 | 49184640 |
11 | 2584416a |
12 | 1457b400 |
13 | a26124b |
14 | 6764608 |
15 | 44b8360 |
hex | 2ee7f80 |
49184640 has 96 divisors (see below), whose sum is σ = 169860600. Its totient is φ = 13114368.
The previous prime is 49184627. The next prime is 49184651. The reversal of 49184640 is 4648194.
It is a happy number.
49184640 is a `hidden beast` number, since 4 + 9 + 1 + 8 + 4 + 640 = 666.
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 (36).
It is a junction number, because it is equal to n+sod(n) for n = 49184595 and 49184604.
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, 1491 + ... + 10029.
Almost surely, 249184640 is an apocalyptic number.
49184640 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 49184640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84930300).
49184640 is an abundant number, since it is smaller than the sum of its proper divisors (120675960).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
49184640 is a wasteful number, since it uses less digits than its factorization.
49184640 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 8564 (or 8549 counting only the distinct ones).
The product of its (nonzero) digits is 27648, while the sum is 36.
The square root of 49184640 is about 7013.1761706091. The cubic root of 49184640 is about 366.3896236009.
The spelling of 49184640 in words is "forty-nine million, one hundred eighty-four thousand, six hundred forty".
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