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4979920 = 245115659
BaseRepresentation
bin10010111111110011010000
3100101000011111
4102333303100
52233324140
6254423104
760220501
oct22776320
910330144
104979920
1128a1540
121801a94
1310548ca
14938ba8
156857ea
hex4bfcd0

4979920 has 40 divisors (see below), whose sum is σ = 12633120. Its totient is φ = 1810560.

The previous prime is 4979911. The next prime is 4979921. The reversal of 4979920 is 299794.

4979920 = T355 + T356 + ... + T420.

It is a tau number, because it is divible by the number of its divisors (40).

It is a Smith number, since the sum of its digits (40) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4979921) 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 7 ways as a sum of consecutive naturals, for example, 1950 + ... + 3709.

It is an arithmetic number, because the mean of its divisors is an integer number (315828).

Almost surely, 24979920 is an apocalyptic number.

4979920 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4979920 is an abundant number, since it is smaller than the sum of its proper divisors (7653200).

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

4979920 is a wasteful number, since it uses less digits than its factorization.

4979920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5683 (or 5677 counting only the distinct ones).

The product of its (nonzero) digits is 40824, while the sum is 40.

The square root of 4979920 is about 2231.5734359416. The cubic root of 4979920 is about 170.7683787695.

The spelling of 4979920 in words is "four million, nine hundred seventy-nine thousand, nine hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 44 55 80 88 110 176 220 440 880 5659 11318 22636 28295 45272 56590 62249 90544 113180 124498 226360 248996 311245 452720 497992 622490 995984 1244980 2489960 4979920