Search a number
-
+
5022503400 = 2335261713567
BaseRepresentation
bin1001010110101110…
…10101000111101000
3110222000201121102110
410223113111013220
540241230102100
62150213402320
7235314401025
oct45327250750
913860647373
105022503400
112148088162
12b820393a0
1362070a605
1435907c54c
151e5dee250
hex12b5d51e8

5022503400 has 96 divisors (see below), whose sum is σ = 15596144640. Its totient is φ = 1337064960.

The previous prime is 5022503357. The next prime is 5022503413. The reversal of 5022503400 is 43052205.

It is an unprimeable number.

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, 363417 + ... + 376983.

It is an arithmetic number, because the mean of its divisors is an integer number (162459840).

Almost surely, 25022503400 is an apocalyptic number.

5022503400 is a gapful number since it is divisible by the number (50) 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 5022503400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7798072320).

5022503400 is an abundant number, since it is smaller than the sum of its proper divisors (10573641240).

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

5022503400 is a wasteful number, since it uses less digits than its factorization.

5022503400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14203 (or 14194 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 21.

The square root of 5022503400 is about 70869.6225473228. The cubic root of 5022503400 is about 1712.5374591767.

Adding to 5022503400 its reverse (43052205), we get a palindrome (5065555605).

The spelling of 5022503400 in words is "five billion, twenty-two million, five hundred three thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 150 200 300 600 617 1234 1851 2468 3085 3702 4936 6170 7404 9255 12340 13567 14808 15425 18510 24680 27134 30850 37020 40701 46275 54268 61700 67835 74040 81402 92550 108536 123400 135670 162804 185100 203505 271340 325608 339175 370200 407010 542680 678350 814020 1017525 1356700 1628040 2035050 2713400 4070100 8140200 8370839 16741678 25112517 33483356 41854195 50225034 66966712 83708390 100450068 125562585 167416780 200900136 209270975 251125170 334833560 418541950 502250340 627812925 837083900 1004500680 1255625850 1674167800 2511251700 5022503400