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4836984 = 233432109
BaseRepresentation
bin10010011100111001111000
3100002202002120
4102130321320
52214240414
6251401240
756053665
oct22347170
910082076
104836984
112804109
121753220
131004829
148dca6c
156582a9
hex49ce78

4836984 has 48 divisors (see below), whose sum is σ = 12493800. Its totient is φ = 1560384.

The previous prime is 4836977. The next prime is 4836989. The reversal of 4836984 is 4896384.

4836984 = 1072 + 1082 + ... + 2502.

4836984 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a d-powerful number, because it can be written as 4 + 8 + 39 + 64 + 97 + 85 + 44 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4836989) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 44322 + ... + 44430.

Almost surely, 24836984 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 4836984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6246900).

4836984 is an abundant number, since it is smaller than the sum of its proper divisors (7656816).

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

4836984 is a wasteful number, since it uses less digits than its factorization.

4836984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 204 (or 157 counting only the distinct ones).

The product of its digits is 165888, while the sum is 42.

The square root of 4836984 is about 2199.3144386376. The cubic root of 4836984 is about 169.1186683317.

Subtracting from 4836984 its product of digits (165888), we obtain a triangular number (4671096 = T3056).

The spelling of 4836984 in words is "four million, eight hundred thirty-six thousand, nine hundred eighty-four".

Divisors: 1 2 3 4 6 8 12 24 43 86 109 129 172 218 258 327 344 436 516 654 872 1032 1308 1849 2616 3698 4687 5547 7396 9374 11094 14061 14792 18748 22188 28122 37496 44376 56244 112488 201541 403082 604623 806164 1209246 1612328 2418492 4836984