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4979728 = 241389269
BaseRepresentation
bin10010111111110000010000
3100100222220101
4102333300100
52233322403
6254422144
760220105
oct22776020
910328811
104979728
1128a1386
121801954
1310547b0
14938aac
1568571d
hex4bfc10

4979728 has 40 divisors (see below), whose sum is σ = 10546200. Its totient is φ = 2264064.

The previous prime is 4979717. The next prime is 4979743. The reversal of 4979728 is 8279794.

It can be written as a sum of positive squares in 4 ways, for example, as 262144 + 4717584 = 512^2 + 2172^2 .

It is a Smith number, since the sum of its digits (46) coincides with the sum of the digits of its prime factors.

It is an Ulam number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 18378 + ... + 18646.

It is an arithmetic number, because the mean of its divisors is an integer number (263655).

Almost surely, 24979728 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 4979728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5273100).

4979728 is an abundant number, since it is smaller than the sum of its proper divisors (5566472).

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

4979728 is a wasteful number, since it uses less digits than its factorization.

4979728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 379 (or 373 counting only the distinct ones).

The product of its digits is 254016, while the sum is 46.

The square root of 4979728 is about 2231.5304165527. The cubic root of 4979728 is about 170.7661840924.

The spelling of 4979728 in words is "four million, nine hundred seventy-nine thousand, seven hundred twenty-eight".

Divisors: 1 2 4 8 13 16 26 52 89 104 178 208 269 356 538 712 1076 1157 1424 2152 2314 3497 4304 4628 6994 9256 13988 18512 23941 27976 47882 55952 95764 191528 311233 383056 622466 1244932 2489864 4979728