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4979944900 = 2252756912503
BaseRepresentation
bin1001010001101001…
…11110110111000100
3110212001122102010201
410220310332313010
540144331214100
62142053300244
7234256555540
oct45064766704
913761572121
104979944900
11212605a347
12b6b934684
13614959378
14353560a20
151e22e436a
hex128d3edc4

4979944900 has 72 divisors (see below), whose sum is σ = 12372958080. Its totient is φ = 1704272640.

The previous prime is 4979944891. The next prime is 4979944903. The reversal of 4979944900 is 94499794.

It is not an unprimeable number, because it can be changed into a prime (4979944903) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 392049 + ... + 404551.

It is an arithmetic number, because the mean of its divisors is an integer number (171846640).

Almost surely, 24979944900 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 4979944900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6186479040).

4979944900 is an abundant number, since it is smaller than the sum of its proper divisors (7393013180).

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

4979944900 is a wasteful number, since it uses less digits than its factorization.

4979944900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13093 (or 13086 counting only the distinct ones).

The product of its (nonzero) digits is 2939328, while the sum is 55.

The square root of 4979944900 is about 70568.7246590159. The cubic root of 4979944900 is about 1707.6866338760.

The spelling of 4979944900 in words is "four billion, nine hundred seventy-nine million, nine hundred forty-four thousand, nine hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 50 70 100 140 175 350 569 700 1138 2276 2845 3983 5690 7966 11380 12503 14225 15932 19915 25006 28450 39830 50012 56900 62515 79660 87521 99575 125030 175042 199150 250060 312575 350084 398300 437605 625150 875210 1250300 1750420 2188025 4376050 7114207 8752100 14228414 28456828 35571035 49799449 71142070 99598898 142284140 177855175 199197796 248997245 355710350 497994490 711420700 995988980 1244986225 2489972450 4979944900