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4783840 = 255291031
BaseRepresentation
bin10010001111111011100000
3100000001012021
4102033323200
52211040330
6250311224
755443025
oct22177340
910001167
104783840
112778196
121728514
13cb6599
148c754c
1564767a
hex48fee0

4783840 has 48 divisors (see below), whose sum is σ = 11702880. Its totient is φ = 1845760.

The previous prime is 4783837. The next prime is 4783853. The reversal of 4783840 is 483874.

It is a d-powerful number, because it can be written as 44 + 73 + 8 + 314 + 8 + 44 + 0 .

It is a junction number, because it is equal to n+sod(n) for n = 4783796 and 4783805.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4125 + ... + 5155.

It is an arithmetic number, because the mean of its divisors is an integer number (243810).

Almost surely, 24783840 is an apocalyptic number.

4783840 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 4783840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5851440).

4783840 is an abundant number, since it is smaller than the sum of its proper divisors (6919040).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

4783840 is a wasteful number, since it uses less digits than its factorization.

4783840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1075 (or 1067 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 34.

The square root of 4783840 is about 2187.1991221651. The cubic root of 4783840 is about 168.4970164452.

Adding to 4783840 its sum of digits (34), we get a palindrome (4783874).

The spelling of 4783840 in words is "four million, seven hundred eighty-three thousand, eight hundred forty".

Divisors: 1 2 4 5 8 10 16 20 29 32 40 58 80 116 145 160 232 290 464 580 928 1031 1160 2062 2320 4124 4640 5155 8248 10310 16496 20620 29899 32992 41240 59798 82480 119596 149495 164960 239192 298990 478384 597980 956768 1195960 2391920 4783840