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5082549120 = 27355112971
BaseRepresentation
bin1001011101111000…
…11000101110000000
3111010012201020200000
410232330120232000
540402113032440
62200200400000
7236643645315
oct45674305600
914105636600
105082549120
112178a6a420
12b9a176000
1362cca231c
1436302cd0c
151eb310730
hex12ef18b80

5082549120 has 384 divisors, whose sum is σ = 19861994880. Its totient is φ = 1231718400.

The previous prime is 5082549103. The next prime is 5082549127. The reversal of 5082549120 is 219452805.

5082549120 is a `hidden beast` number, since 508 + 25 + 4 + 9 + 120 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

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 (5082549127) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1709235 + ... + 1712205.

It is an arithmetic number, because the mean of its divisors is an integer number (51723945).

Almost surely, 25082549120 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 5082549120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9930997440).

5082549120 is an abundant number, since it is smaller than the sum of its proper divisors (14779445760).

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

5082549120 is a wasteful number, since it uses less digits than its factorization.

5082549120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3016 (or 2992 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 36.

The square root of 5082549120 is about 71291.9989900690. The cubic root of 5082549120 is about 1719.3350954421.

The spelling of 5082549120 in words is "five billion, eighty-two million, five hundred forty-nine thousand, one hundred twenty".