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48408980200 = 23527131263953
BaseRepresentation
bin101101000101011001…
…100110101011101000
311121221201000222202121
4231011121212223220
51243120144331300
634123324241024
73332422354030
oct550531465350
9147851028677
1048408980200
1119591675359
1294700a0174
13474625c5a9
1424b32d68c0
1513d4d6b81a
hexb45666ae8

48408980200 has 96 divisors (see below), whose sum is σ = 129611972160. Its totient is φ = 16470604800.

The previous prime is 48408980129. The next prime is 48408980201. The reversal of 48408980200 is 208980484.

48408980200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (48408980201) 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, 51424 + ... + 315376.

It is an arithmetic number, because the mean of its divisors is an integer number (1350124710).

Almost surely, 248408980200 is an apocalyptic number.

48408980200 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 48408980200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64805986080).

48408980200 is an abundant number, since it is smaller than the sum of its proper divisors (81202991960).

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

48408980200 is a wasteful number, since it uses less digits than its factorization.

48408980200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 264107 (or 264098 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 43.

The spelling of 48408980200 in words is "forty-eight billion, four hundred eight million, nine hundred eighty thousand, two hundred".

Divisors: 1 2 4 5 7 8 10 14 20 25 28 35 40 50 56 70 100 131 140 175 200 262 280 350 524 655 700 917 1048 1310 1400 1834 2620 3275 3668 4585 5240 6550 7336 9170 13100 18340 22925 26200 36680 45850 91700 183400 263953 527906 1055812 1319765 1847671 2111624 2639530 3695342 5279060 6598825 7390684 9238355 10558120 13197650 14781368 18476710 26395300 34577843 36953420 46191775 52790600 69155686 73906840 92383550 138311372 172889215 184767100 242044901 276622744 345778430 369534200 484089802 691556860 864446075 968179604 1210224505 1383113720 1728892150 1936359208 2420449010 3457784300 4840898020 6051122525 6915568600 9681796040 12102245050 24204490100 48408980200