Search a number
-
+
48448400840 = 2357315581613
BaseRepresentation
bin101101000111101111…
…111110110111001000
311122001110012202201022
4231013233332313020
51243210242311330
634131253212012
73333411420020
oct550757766710
9148043182638
1048448400840
111960194a6a4
129481331008
134751482508
1424b8638a80
1513d8556ae5
hexb47bfedc8

48448400840 has 64 divisors (see below), whose sum is σ = 128600386560. Its totient is φ = 16075042560.

The previous prime is 48448400771. The next prime is 48448400849. The reversal of 48448400840 is 4800484484.

It is a junction number, because it is equal to n+sod(n) for n = 48448400791 and 48448400800.

It is not an unprimeable number, because it can be changed into a prime (48448400849) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2782127 + ... + 2799486.

It is an arithmetic number, because the mean of its divisors is an integer number (2009381040).

Almost surely, 248448400840 is an apocalyptic number.

48448400840 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

48448400840 is an abundant number, since it is smaller than the sum of its proper divisors (80151985720).

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

48448400840 is a wasteful number, since it uses less digits than its factorization.

48448400840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5581662 (or 5581658 counting only the distinct ones).

The product of its (nonzero) digits is 524288, while the sum is 44.

The spelling of 48448400840 in words is "forty-eight billion, four hundred forty-eight million, four hundred thousand, eight hundred forty".

Divisors: 1 2 4 5 7 8 10 14 20 28 31 35 40 56 62 70 124 140 155 217 248 280 310 434 620 868 1085 1240 1736 2170 4340 8680 5581613 11163226 22326452 27908065 39071291 44652904 55816130 78142582 111632260 156285164 173030003 195356455 223264520 312570328 346060006 390712910 692120012 781425820 865150015 1211210021 1384240024 1562851640 1730300030 2422420042 3460600060 4844840084 6056050105 6921200120 9689680168 12112100210 24224200420 48448400840