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5484315600 = 243552173319
BaseRepresentation
bin1010001101110010…
…00000001111010000
3112011012201002200000
411012321000033100
542212441044400
62304111530000
7252622625211
oct50671001720
915135632600
105484315600
112364831535
121090829900
136952b197a
143a0533408
15221722600
hex146e403d0

5484315600 has 360 divisors, whose sum is σ = 20904287040. Its totient is φ = 1376040960.

The previous prime is 5484315527. The next prime is 5484315601. The reversal of 5484315600 is 65134845.

It is a happy number.

5484315600 is a `hidden beast` number, since 5 + 4 + 8 + 43 + 1 + 5 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5484315601) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1650741 + ... + 1654059.

It is an arithmetic number, because the mean of its divisors is an integer number (58067464).

Almost surely, 25484315600 is an apocalyptic number.

5484315600 is a gapful number since it is divisible by the number (50) 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 5484315600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10452143520).

5484315600 is an abundant number, since it is smaller than the sum of its proper divisors (15419971440).

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

5484315600 is a wasteful number, since it uses less digits than its factorization.

5484315600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3369 (or 3346 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The square root of 5484315600 is about 74056.1651721178. The cubic root of 5484315600 is about 1763.4946490767.

The spelling of 5484315600 in words is "five billion, four hundred eighty-four million, three hundred fifteen thousand, six hundred".