Search a number
-
+
5475453984 = 2533711132487
BaseRepresentation
bin1010001100101110…
…01100110000100000
3112010121000212211000
411012113030300200
542203204011414
62303153552000
7252454406460
oct50627146040
915117025730
105475453984
11235a829690
121089875600
136934cb300
1439d2a7ba0
15220a71b09
hex1465ccc20

5475453984 has 576 divisors, whose sum is σ = 21604423680. Its totient is φ = 1310100480.

The previous prime is 5475453983. The next prime is 5475453989. The reversal of 5475453984 is 4893545745.

It is a happy number.

5475453984 is a `hidden beast` number, since 5 + 4 + 7 + 545 + 3 + 98 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 5475453984.

It is not an unprimeable number, because it can be changed into a prime (5475453983) 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 95 ways as a sum of consecutive naturals, for example, 11242989 + ... + 11243475.

It is an arithmetic number, because the mean of its divisors is an integer number (37507680).

Almost surely, 25475453984 is an apocalyptic number.

5475453984 is a gapful number since it is divisible by the number (54) 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 5475453984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10802211840).

5475453984 is an abundant number, since it is smaller than the sum of its proper divisors (16128969696).

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

5475453984 is a wasteful number, since it uses less digits than its factorization.

5475453984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 550 (or 523 counting only the distinct ones).

The product of its digits is 12096000, while the sum is 54.

The square root of 5475453984 is about 73996.3106107325. The cubic root of 5475453984 is about 1762.5443125120.

The spelling of 5475453984 in words is "five billion, four hundred seventy-five million, four hundred fifty-three thousand, nine hundred eighty-four".