Base | Representation |
---|---|
bin | 1011111010111… |
… | …0110110010000 |
3 | 10111002020002000 |
4 | 2332232312100 |
5 | 100244433443 |
6 | 4543354000 |
7 | 1144662255 |
oct | 276566620 |
9 | 114066060 |
10 | 49999248 |
11 | 262501a2 |
12 | 148b2900 |
13 | a487c70 |
14 | 68d742c |
15 | 45c98d3 |
hex | 2faed90 |
49999248 has 160 divisors (see below), whose sum is σ = 160406400. Its totient is φ = 14805504.
The previous prime is 49999231. The next prime is 49999253. The reversal of 49999248 is 84299994.
It is a Harshad number since it is a multiple of its sum of digits (54).
It is a nude number because it is divisible by every one of its digits.
It is a zygodrome in base 7.
It is a junction number, because it is equal to n+sod(n) for n = 49999194 and 49999203.
It is an unprimeable number.
It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 162711 + ... + 163017.
It is an arithmetic number, because the mean of its divisors is an integer number (1002540).
Almost surely, 249999248 is an apocalyptic number.
49999248 is a gapful number since it is divisible by the number (48) 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 49999248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80203200).
49999248 is an abundant number, since it is smaller than the sum of its proper divisors (110407152).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
49999248 is a wasteful number, since it uses less digits than its factorization.
49999248 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 366 (or 354 counting only the distinct ones).
The product of its digits is 1679616, while the sum is 54.
The square root of 49999248 is about 7071.0146372356. The cubic root of 49999248 is about 368.4013029270.
The spelling of 49999248 in words is "forty-nine million, nine hundred ninety-nine thousand, two hundred forty-eight".
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