Search a number
-
+
4863642 = 237271233
BaseRepresentation
bin10010100011011010011010
3100011002122220
4102203122122
52221114032
6252124510
756224500
oct22433232
910132586
104863642
112822143
121766736
1310139c4
14908670
1566112c
hex4a369a

4863642 has 48 divisors (see below), whose sum is σ = 11524032. Its totient is φ = 1364160.

The previous prime is 4863641. The next prime is 4863653. The reversal of 4863642 is 2463684.

It is not an unprimeable number, because it can be changed into a prime (4863641) 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 23 ways as a sum of consecutive naturals, for example, 20758 + ... + 20990.

It is an arithmetic number, because the mean of its divisors is an integer number (240084).

Almost surely, 24863642 is an apocalyptic number.

4863642 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 4863642, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5762016).

4863642 is an abundant number, since it is smaller than the sum of its proper divisors (6660390).

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

4863642 is a wasteful number, since it uses less digits than its factorization.

4863642 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 323 (or 316 counting only the distinct ones).

The product of its digits is 27648, while the sum is 33.

The square root of 4863642 is about 2205.3666361855. The cubic root of 4863642 is about 169.4287864019.

The spelling of 4863642 in words is "four million, eight hundred sixty-three thousand, six hundred forty-two".

Divisors: 1 2 3 6 7 14 21 42 49 71 98 142 147 213 233 294 426 466 497 699 994 1398 1491 1631 2982 3262 3479 4893 6958 9786 10437 11417 16543 20874 22834 33086 34251 49629 68502 99258 115801 231602 347403 694806 810607 1621214 2431821 4863642