Search a number
-
+
4981984 = 25723967
BaseRepresentation
bin10011000000010011100000
3100101002222221
4103000103200
52233410414
6254440424
760226510
oct23002340
910332887
104981984
1128a3047
121803114
131055827
14939840
15686224
hex4c04e0

4981984 has 48 divisors (see below), whose sum is σ = 11708928. Its totient is φ = 2040192.

The previous prime is 4981981. The next prime is 4981993. The reversal of 4981984 is 4891894.

It is a self number, because there is not a number n which added to its sum of digits gives 4981984.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4981981) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4669 + ... + 5635.

It is an arithmetic number, because the mean of its divisors is an integer number (243936).

Almost surely, 24981984 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 4981984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5854464).

4981984 is an abundant number, since it is smaller than the sum of its proper divisors (6726944).

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

4981984 is a wasteful number, since it uses less digits than its factorization.

4981984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1007 (or 999 counting only the distinct ones).

The product of its digits is 82944, while the sum is 43.

The square root of 4981984 is about 2232.0358420061. The cubic root of 4981984 is about 170.7919679872.

The spelling of 4981984 in words is "four million, nine hundred eighty-one thousand, nine hundred eighty-four".

Divisors: 1 2 4 7 8 14 16 23 28 32 46 56 92 112 161 184 224 322 368 644 736 967 1288 1934 2576 3868 5152 6769 7736 13538 15472 22241 27076 30944 44482 54152 88964 108304 155687 177928 216608 311374 355856 622748 711712 1245496 2490992 4981984