Search a number
-
+
4838820 = 2235741281
BaseRepresentation
bin10010011101010110100100
3100002211121120
4102131112210
52214320240
6251413540
756062230
oct22352644
910084546
104838820
112805528
1217542b0
13100560c
148dd5c0
15658ad0
hex49d5a4

4838820 has 96 divisors (see below), whose sum is σ = 15918336. Its totient is φ = 1075200.

The previous prime is 4838819. The next prime is 4838831. The reversal of 4838820 is 288384.

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is an Ulam 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 31 ways as a sum of consecutive naturals, for example, 17080 + ... + 17360.

It is an arithmetic number, because the mean of its divisors is an integer number (165816).

Almost surely, 24838820 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4838820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7959168).

4838820 is an abundant number, since it is smaller than the sum of its proper divisors (11079516).

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

4838820 is a wasteful number, since it uses less digits than its factorization.

4838820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 341 (or 339 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 33.

The square root of 4838820 is about 2199.7318018340. The cubic root of 4838820 is about 169.1400633854.

The spelling of 4838820 in words is "four million, eight hundred thirty-eight thousand, eight hundred twenty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 41 42 60 70 82 84 105 123 140 164 205 210 246 281 287 410 420 492 562 574 615 820 843 861 1124 1148 1230 1405 1435 1686 1722 1967 2460 2810 2870 3372 3444 3934 4215 4305 5620 5740 5901 7868 8430 8610 9835 11521 11802 16860 17220 19670 23042 23604 29505 34563 39340 46084 57605 59010 69126 80647 115210 118020 138252 161294 172815 230420 241941 322588 345630 403235 483882 691260 806470 967764 1209705 1612940 2419410 4838820