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5475232800 = 25335223103107
BaseRepresentation
bin1010001100101100…
…10110110000100000
3112010120121122102000
411012112112300200
542203124422200
62303145124000
7252452465562
oct50626266040
915116548360
105475232800
11235a698494
121089789600
1369345172b
1439d24b332
15220a2b300
hex146596c20

5475232800 has 576 divisors, whose sum is σ = 21058652160. Its totient is φ = 1370096640.

The previous prime is 5475232759. The next prime is 5475232933. The reversal of 5475232800 is 82325745.

5475232800 is a `hidden beast` number, since 54 + 7 + 523 + 2 + 80 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

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, 51170347 + ... + 51170453.

It is an arithmetic number, because the mean of its divisors is an integer number (36560160).

Almost surely, 25475232800 is an apocalyptic number.

5475232800 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 5475232800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10529326080).

5475232800 is an abundant number, since it is smaller than the sum of its proper divisors (15583419360).

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

5475232800 is a wasteful number, since it uses less digits than its factorization.

5475232800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 262 (or 243 counting only the distinct ones).

The product of its (nonzero) digits is 67200, while the sum is 36.

The square root of 5475232800 is about 73994.8160346385. The cubic root of 5475232800 is about 1762.5205792074.

The spelling of 5475232800 in words is "five billion, four hundred seventy-five million, two hundred thirty-two thousand, eight hundred".