Search a number
-
+
5484813048 = 23331113416171
BaseRepresentation
bin1010001101110101…
…11001101011111000
3112011020122101001000
411012322321223320
542213103004143
62304130325000
7252630066411
oct50672715370
915136571030
105484813048
112365041250
121090a29760
13695427210
143a0622808
152217bebd3
hex146eb9af8

5484813048 has 512 divisors, whose sum is σ = 18898790400. Its totient is φ = 1451520000.

The previous prime is 5484813001. The next prime is 5484813053. The reversal of 5484813048 is 8403184845.

It is a super-2 number, since 2×54848130482 = 60166348343022100608, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 5484812994 and 5484813012.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 77250853 + ... + 77250923.

It is an arithmetic number, because the mean of its divisors is an integer number (36911700).

Almost surely, 25484813048 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5484813048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9449395200).

5484813048 is an abundant number, since it is smaller than the sum of its proper divisors (13413977352).

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

5484813048 is a wasteful number, since it uses less digits than its factorization.

5484813048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 212 (or 202 counting only the distinct ones).

The product of its (nonzero) digits is 491520, while the sum is 45.

The square root of 5484813048 is about 74059.5236819681. The cubic root of 5484813048 is about 1763.5479659916.

It can be divided in two parts, 54848 and 13048, that added together give a triangular number (67896 = T368).

The spelling of 5484813048 in words is "five billion, four hundred eighty-four million, eight hundred thirteen thousand, forty-eight".