Search a number
-
+
4974224000 = 2753310889
BaseRepresentation
bin1001010000111110…
…01010001010000000
3110211122212202112112
410220133022022000
540141400132000
62141330514452
7234160130534
oct45037121200
913748782475
104974224000
112122902129
12b69a35a28
13613705415
143528b1bc4
151e1a64235
hex1287ca280

4974224000 has 64 divisors (see below), whose sum is σ = 12367204200. Its totient is φ = 1989683200.

The previous prime is 4974223993. The next prime is 4974224029. The reversal of 4974224000 is 4224794.

It can be written as a sum of positive squares in 4 ways, for example, as 805197376 + 4169026624 = 28376^2 + 64568^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 139445 + ... + 171444.

Almost surely, 24974224000 is an apocalyptic number.

4974224000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4974224000 is an abundant number, since it is smaller than the sum of its proper divisors (7392980200).

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

4974224000 is an equidigital number, since it uses as much as digits as its factorization.

4974224000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 310918 (or 310896 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 32.

The square root of 4974224000 is about 70528.1787656537. The cubic root of 4974224000 is about 1707.0324601131.

Adding to 4974224000 its reverse (4224794), we get a palindrome (4978448794).

The spelling of 4974224000 in words is "four billion, nine hundred seventy-four million, two hundred twenty-four thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 128 160 200 250 320 400 500 640 800 1000 1600 2000 3200 4000 8000 16000 310889 621778 1243556 1554445 2487112 3108890 4974224 6217780 7772225 9948448 12435560 15544450 19896896 24871120 31088900 38861125 39793792 49742240 62177800 77722250 99484480 124355600 155444500 198968960 248711200 310889000 497422400 621778000 994844800 1243556000 2487112000 4974224000