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4979400 = 2335243193
BaseRepresentation
bin10010111111101011001000
3100100222110020
4102333223020
52233320100
6254420440
760216126
oct22775310
910328406
104979400
1128a1108
121801720
1310545ba
14938916
156855a0
hex4bfac8

4979400 has 96 divisors (see below), whose sum is σ = 15876960. Its totient is φ = 1290240.

The previous prime is 4979393. The next prime is 4979411. The reversal of 4979400 is 49794.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 25704 + ... + 25896.

It is an arithmetic number, because the mean of its divisors is an integer number (165385).

Almost surely, 24979400 is an apocalyptic number.

4979400 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 4979400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7938480).

4979400 is an abundant number, since it is smaller than the sum of its proper divisors (10897560).

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

4979400 is a wasteful number, since it uses less digits than its factorization.

4979400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 255 (or 246 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 33.

The square root of 4979400 is about 2231.4569231782. The cubic root of 4979400 is about 170.7624347217.

Multiplying 4979400 by its reverse (49794), we get a square (247944243600 = 4979402).

4979400 divided by its reverse (49794) gives a square (100 = 102).

The spelling of 4979400 in words is "four million, nine hundred seventy-nine thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 43 50 60 75 86 100 120 129 150 172 193 200 215 258 300 344 386 430 516 579 600 645 772 860 965 1032 1075 1158 1290 1544 1720 1930 2150 2316 2580 2895 3225 3860 4300 4632 4825 5160 5790 6450 7720 8299 8600 9650 11580 12900 14475 16598 19300 23160 24897 25800 28950 33196 38600 41495 49794 57900 66392 82990 99588 115800 124485 165980 199176 207475 248970 331960 414950 497940 622425 829900 995880 1244850 1659800 2489700 4979400