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48925218288 = 24331165719843
BaseRepresentation
bin101101100100001010…
…111001010111110000
311200021200102121021210
4231210022321113300
51300144323441123
634250445120120
73351261331242
oct554412712760
9150250377253
1048925218288
1119827012701
129594b59040
1347c91ab70b
142521ab8092
151415340e93
hexb642b95f0

48925218288 has 80 divisors (see below), whose sum is σ = 130552564736. Its totient is φ = 15772008960.

The previous prime is 48925218283. The next prime is 48925218301. The reversal of 48925218288 is 88281252984.

It is a happy number.

48925218288 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×489252182883 (a number of 33 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48925218283) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2455695 + ... + 2475537.

Almost surely, 248925218288 is an apocalyptic number.

48925218288 is a gapful number since it is divisible by the number (48) 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 48925218288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65276282368).

48925218288 is an abundant number, since it is smaller than the sum of its proper divisors (81627346448).

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

48925218288 is a wasteful number, since it uses less digits than its factorization.

48925218288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21542 (or 21536 counting only the distinct ones).

The product of its digits is 5898240, while the sum is 57.

The spelling of 48925218288 in words is "forty-eight billion, nine hundred twenty-five million, two hundred eighteen thousand, two hundred eighty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 31 48 62 93 124 186 248 372 496 744 1488 1657 3314 4971 6628 9942 13256 19843 19884 26512 39686 39768 51367 59529 79372 79536 102734 119058 154101 158744 205468 238116 308202 317488 410936 476232 615133 616404 821872 952464 1230266 1232808 1845399 2460532 2465616 3690798 4921064 7381596 9842128 14763192 29526384 32879851 65759702 98639553 131519404 197279106 263038808 394558212 526077616 789116424 1019275381 1578232848 2038550762 3057826143 4077101524 6115652286 8154203048 12231304572 16308406096 24462609144 48925218288