Base | Representation |
---|---|
bin | 1011101011111… |
… | …0000100000000 |
3 | 10102020010012000 |
4 | 2322332010000 |
5 | 100021403432 |
6 | 4510304000 |
7 | 1133414010 |
oct | 272760400 |
9 | 112203160 |
10 | 49012992 |
11 | 25737206 |
12 | 144b8000 |
13 | a201092 |
14 | 671bc40 |
15 | 448257c |
hex | 2ebe100 |
49012992 has 144 divisors (see below), whose sum is σ = 165809280. Its totient is φ = 13989888.
The previous prime is 49012981. The next prime is 49012993. The reversal of 49012992 is 29921094.
It is a tau number, because it is divible by the number of its divisors (144).
It is a Harshad number since it is a multiple of its sum of digits (36).
It is not an unprimeable number, because it can be changed into a prime (49012993) 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, 47878 + ... + 48890.
Almost surely, 249012992 is an apocalyptic number.
49012992 is a gapful number since it is divisible by the number (42) 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 49012992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82904640).
49012992 is an abundant number, since it is smaller than the sum of its proper divisors (116796288).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
49012992 is a wasteful number, since it uses less digits than its factorization.
49012992 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 1045 (or 1025 counting only the distinct ones).
The product of its (nonzero) digits is 11664, while the sum is 36.
The square root of 49012992 is about 7000.9279384950. The cubic root of 49012992 is about 365.9629094367.
The spelling of 49012992 in words is "forty-nine million, twelve thousand, nine hundred ninety-two".
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