Base | Representation |
---|---|
bin | 1111011100011101000000 |
3 | 21121200210000 |
4 | 33130131000 |
5 | 2014024304 |
6 | 222440000 |
7 | 46261542 |
oct | 17343500 |
9 | 7550700 |
10 | 4048704 |
11 | 2315940 |
12 | 1433000 |
13 | ab9aaa |
14 | 775692 |
15 | 54e939 |
hex | 3dc740 |
4048704 has 140 divisors (see below), whose sum is σ = 13277088. Its totient is φ = 1209600.
The previous prime is 4048697. The next prime is 4048711. The reversal of 4048704 is 4078404.
4048704 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is an interprime number because it is at equal distance from previous prime (4048697) and next prime (4048711).
It is a Harshad number since it is a multiple of its sum of digits (27).
It is a zygodrome in base 6.
It is a congruent number.
It is an unprimeable number.
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 19 ways as a sum of consecutive naturals, for example, 56989 + ... + 57059.
Almost surely, 24048704 is an apocalyptic number.
4048704 is a gapful number since it is divisible by the number (44) 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 4048704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6638544).
4048704 is an abundant number, since it is smaller than the sum of its proper divisors (9228384).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
4048704 is a wasteful number, since it uses less digits than its factorization.
4048704 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 106 (or 87 counting only the distinct ones).
The product of its (nonzero) digits is 3584, while the sum is 27.
The square root of 4048704 is about 2012.1391601974. The cubic root of 4048704 is about 159.3817810264.
The spelling of 4048704 in words is "four million, forty-eight thousand, seven hundred four".
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