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5125703200 = 2552431091367
BaseRepresentation
bin1001100011000010…
…00000011000100000
3111020012220200221021
410301201000120200
540444140000300
62204341335224
7241006521052
oct46141003040
914205820837
105125703200
1121a0364752
12bb0707514
13638c01697
14368a638d2
151eeed6d1a
hex131840620

5125703200 has 144 divisors (see below), whose sum is σ = 12931047360. Its totient is φ = 1982776320.

The previous prime is 5125703179. The next prime is 5125703279. The reversal of 5125703200 is 23075215.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3748917 + ... + 3750283.

It is an arithmetic number, because the mean of its divisors is an integer number (89798940).

Almost surely, 25125703200 is an apocalyptic number.

5125703200 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 5125703200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6465523680).

5125703200 is an abundant number, since it is smaller than the sum of its proper divisors (7805344160).

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

5125703200 is a wasteful number, since it uses less digits than its factorization.

5125703200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1539 (or 1526 counting only the distinct ones).

The product of its (nonzero) digits is 2100, while the sum is 25.

The square root of 5125703200 is about 71594.0165097615. The cubic root of 5125703200 is about 1724.1874714262.

Adding to 5125703200 its reverse (23075215), we get a palindrome (5148778415).

The spelling of 5125703200 in words is "five billion, one hundred twenty-five million, seven hundred three thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 43 50 80 86 100 109 160 172 200 215 218 344 400 430 436 545 688 800 860 872 1075 1090 1367 1376 1720 1744 2150 2180 2725 2734 3440 3488 4300 4360 4687 5450 5468 6835 6880 8600 8720 9374 10900 10936 13670 17200 17440 18748 21800 21872 23435 27340 34175 34400 37496 43600 43744 46870 54680 58781 68350 74992 87200 93740 109360 117175 117562 136700 149003 149984 187480 218720 234350 235124 273400 293905 298006 374960 468700 470248 546800 587810 596012 745015 749920 937400 940496 1093600 1175620 1192024 1469525 1490030 1874800 1880992 2351240 2384048 2939050 2980060 3725075 3749600 4702480 4768096 5878100 5960120 6407129 7450150 9404960 11756200 11920240 12814258 14900300 23512400 23840480 25628516 29800600 32035645 47024800 51257032 59601200 64071290 102514064 119202400 128142580 160178225 205028128 256285160 320356450 512570320 640712900 1025140640 1281425800 2562851600 5125703200