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4980384 = 253217293
BaseRepresentation
bin10010111111111010100000
3100101000210200
4102333322200
52233333014
6254425200
760222033
oct22777240
910330720
104980384
1128a1922
121802200
131054b96
1493901a
15685a09
hex4bfea0

4980384 has 36 divisors (see below), whose sum is σ = 14163786. Its totient is φ = 1660032.

The previous prime is 4980383. The next prime is 4980401. The reversal of 4980384 is 4830894.

It can be written as a sum of positive squares in only one way, i.e., 4928400 + 51984 = 2220^2 + 228^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (4980383) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 8359 + ... + 8934.

Almost surely, 24980384 is an apocalyptic number.

It is an amenable number.

4980384 is an abundant number, since it is smaller than the sum of its proper divisors (9183402).

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

4980384 is a wasteful number, since it uses less digits than its factorization.

4980384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17309 (or 17298 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 4980384 is about 2231.6773960409. The cubic root of 4980384 is about 170.7736823398.

The spelling of 4980384 in words is "four million, nine hundred eighty thousand, three hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 17293 34586 51879 69172 103758 138344 155637 207516 276688 311274 415032 553376 622548 830064 1245096 1660128 2490192 4980384