Search a number
-
+
47857992200 = 23523124992
BaseRepresentation
bin101100100100100011…
…110000001000001000
311120112022020220022122
4230210203300020020
51241003121222300
633552522510412
73312652136024
oct544443601010
9146468226278
1047857992200
1119329652977
129337665408
1346890644a5
14246006b384
1513a17d0c85
hexb248f0208

47857992200 has 108 divisors (see below), whose sum is σ = 115205839245. Its totient is φ = 18488548800.

The previous prime is 47857992199. The next prime is 47857992227. The reversal of 47857992200 is 229975874.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 46900832356 + 957159844 = 216566^2 + 30938^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=154690.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 95907551 + ... + 95908049.

Almost surely, 247857992200 is an apocalyptic number.

47857992200 is a gapful number since it is divisible by the number (40) 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 47857992200

47857992200 is an abundant number, since it is smaller than the sum of its proper divisors (67347847045).

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

47857992200 is an equidigital number, since it uses as much as digits as its factorization.

47857992200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1076 (or 537 counting only the distinct ones).

The product of its (nonzero) digits is 2540160, while the sum is 53.

The spelling of 47857992200 in words is "forty-seven billion, eight hundred fifty-seven million, nine hundred ninety-two thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 31 40 50 62 100 124 155 200 248 310 499 620 775 961 998 1240 1550 1922 1996 2495 3100 3844 3992 4805 4990 6200 7688 9610 9980 12475 15469 19220 19960 24025 24950 30938 38440 48050 49900 61876 77345 96100 99800 123752 154690 192200 249001 309380 386725 479539 498002 618760 773450 959078 996004 1245005 1546900 1918156 1992008 2397695 2490010 3093800 3836312 4795390 4980020 6225025 7719031 9590780 9960040 11988475 12450050 15438062 19181560 23976950 24900100 30876124 38595155 47953900 49800200 61752248 77190310 95907800 154380620 192975775 239289961 308761240 385951550 478579922 771903100 957159844 1196449805 1543806200 1914319688 2392899610 4785799220 5982249025 9571598440 11964498050 23928996100 47857992200