Search a number
-
+
5125404200 = 2352719918397
BaseRepresentation
bin1001100010111111…
…10111011000101000
3111020012100111210012
410301133313120220
540444100413300
62204331111052
7241004134250
oct46137673050
914205314705
105125404200
1121a0180044
12bb05a2488
13638b28567
143689c6960
151eee78435
hex1317f7628

5125404200 has 96 divisors (see below), whose sum is σ = 13688112000. Its totient is φ = 1748355840.

The previous prime is 5125404173. The next prime is 5125404209. The reversal of 5125404200 is 24045215.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (5125404209) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 269402 + ... + 287798.

It is an arithmetic number, because the mean of its divisors is an integer number (142584500).

Almost surely, 25125404200 is an apocalyptic number.

5125404200 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 5125404200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6844056000).

5125404200 is an abundant number, since it is smaller than the sum of its proper divisors (8562707800).

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

5125404200 is a wasteful number, since it uses less digits than its factorization.

5125404200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18619 (or 18610 counting only the distinct ones).

The product of its (nonzero) digits is 1600, while the sum is 23.

The square root of 5125404200 is about 71591.9283159771. The cubic root of 5125404200 is about 1724.1539448343.

Adding to 5125404200 its reverse (24045215), we get a palindrome (5149449415).

The spelling of 5125404200 in words is "five billion, one hundred twenty-five million, four hundred four thousand, two hundred".

Divisors: 1 2 4 5 7 8 10 14 20 25 28 35 40 50 56 70 100 140 175 199 200 280 350 398 700 796 995 1393 1400 1592 1990 2786 3980 4975 5572 6965 7960 9950 11144 13930 18397 19900 27860 34825 36794 39800 55720 69650 73588 91985 128779 139300 147176 183970 257558 278600 367940 459925 515116 643895 735880 919850 1030232 1287790 1839700 2575580 3219475 3661003 3679400 5151160 6438950 7322006 12877900 14644012 18305015 25627021 25755800 29288024 36610030 51254042 73220060 91525075 102508084 128135105 146440120 183050150 205016168 256270210 366100300 512540420 640675525 732200600 1025080840 1281351050 2562702100 5125404200