Search a number
-
+
4836032 = 26194197
BaseRepresentation
bin10010011100101011000000
3100002200210022
4102130223000
52214223112
6251353012
756051135
oct22345300
910080708
104836032
112803423
121752768
131004276
148dc58c
15657d72
hex49cac0

4836032 has 56 divisors (see below), whose sum is σ = 10454640. Its totient is φ = 2211840.

The previous prime is 4835989. The next prime is 4836037. The reversal of 4836032 is 2306384.

It is an Ulam number.

It is a d-powerful number, because it can be written as 43 + 83 + 39 + 62 + 0 + 314 + 215 .

It is a junction number, because it is equal to n+sod(n) for n = 4835992 and 4836010.

It is not an unprimeable number, because it can be changed into a prime (4836037) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 49808 + ... + 49904.

It is an arithmetic number, because the mean of its divisors is an integer number (186690).

Almost surely, 24836032 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 4836032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5227320).

4836032 is an abundant number, since it is smaller than the sum of its proper divisors (5618608).

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

4836032 is a wasteful number, since it uses less digits than its factorization.

4836032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 169 (or 159 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 26.

The square root of 4836032 is about 2199.0979969069. The cubic root of 4836032 is about 169.1075724687.

The spelling of 4836032 in words is "four million, eight hundred thirty-six thousand, thirty-two".

Divisors: 1 2 4 8 16 19 32 38 41 64 76 82 97 152 164 194 304 328 388 608 656 776 779 1216 1312 1552 1558 1843 2624 3104 3116 3686 3977 6208 6232 7372 7954 12464 14744 15908 24928 29488 31816 49856 58976 63632 75563 117952 127264 151126 254528 302252 604504 1209008 2418016 4836032