Search a number
-
+
5323984000 = 2753332749
BaseRepresentation
bin1001111010101010…
…11000110010000000
3111202001000102001121
410331111120302000
541400414442000
62240143242024
7245635055146
oct47525306200
914661012047
105323984000
112292282a85
121046ba9314
1366b0062ba
14387119596
15212601b1a
hex13d558c80

5323984000 has 64 divisors (see below), whose sum is σ = 13236795000. Its totient is φ = 2129587200.

The previous prime is 5323983991. The next prime is 5323984007. The reversal of 5323984000 is 4893235.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 2221048384 + 3102935616 = 47128^2 + 55704^2 .

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

It is not an unprimeable number, because it can be changed into a prime (5323984007) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 150375 + ... + 182374.

Almost surely, 25323984000 is an apocalyptic number.

5323984000 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

5323984000 is an abundant number, since it is smaller than the sum of its proper divisors (7912811000).

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

5323984000 is an equidigital number, since it uses as much as digits as its factorization.

5323984000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 332778 (or 332756 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 34.

The square root of 5323984000 is about 72965.6357472475. The cubic root of 5323984000 is about 1746.1394079610.

The spelling of 5323984000 in words is "five billion, three hundred twenty-three million, nine hundred eighty-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 332749 665498 1330996 1663745 2661992 3327490 5323984 6654980 8318725 10647968 13309960 16637450 21295936 26619920 33274900 41593625 42591872 53239840 66549800 83187250 106479680 133099600 166374500 212959360 266199200 332749000 532398400 665498000 1064796800 1330996000 2661992000 5323984000