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4983040 = 28517229
BaseRepresentation
bin10011000000100100000000
3100101011110001
4103000210000
52233424130
6254445344
760232546
oct23004400
910334401
104983040
1128a3917
121803854
13105615a
14939d96
156866ca
hex4c0900

4983040 has 72 divisors (see below), whose sum is σ = 12693240. Its totient is φ = 1867776.

The previous prime is 4983031. The next prime is 4983047. The reversal of 4983040 is 403894.

It can be written as a sum of positive squares in 4 ways, for example, as 2214144 + 2768896 = 1488^2 + 1664^2 .

It is a hoax number, since the sum of its digits (28) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (4983047) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 21646 + ... + 21874.

It is an arithmetic number, because the mean of its divisors is an integer number (176295).

Almost surely, 24983040 is an apocalyptic number.

4983040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4983040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6346620).

4983040 is an abundant number, since it is smaller than the sum of its proper divisors (7710200).

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

4983040 is a wasteful number, since it uses less digits than its factorization.

4983040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 267 (or 253 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 28.

The square root of 4983040 is about 2232.2723848133. The cubic root of 4983040 is about 170.8040343699.

The spelling of 4983040 in words is "four million, nine hundred eighty-three thousand, forty".

Divisors: 1 2 4 5 8 10 16 17 20 32 34 40 64 68 80 85 128 136 160 170 229 256 272 320 340 458 544 640 680 916 1088 1145 1280 1360 1832 2176 2290 2720 3664 3893 4352 4580 5440 7328 7786 9160 10880 14656 15572 18320 19465 21760 29312 31144 36640 38930 58624 62288 73280 77860 124576 146560 155720 249152 293120 311440 498304 622880 996608 1245760 2491520 4983040