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5472381600 = 2533527172129
BaseRepresentation
bin1010001100010110…
…11110101010100000
3112010101020210022000
411012023132222200
542201412202400
62303004044000
7252416322210
oct50613365240
915111223260
105472381600
112359020324
121088833600
13692993a2a
1439cb08240
15220666600
hex1462deaa0

5472381600 has 576 divisors, whose sum is σ = 23960966400. Its totient is φ = 1176698880.

The previous prime is 5472381581. The next prime is 5472381701. The reversal of 5472381600 is 61832745.

5472381600 is a `hidden beast` number, since 5 + 47 + 2 + 3 + 8 + 1 + 600 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2569336 + ... + 2571464.

It is an arithmetic number, because the mean of its divisors is an integer number (41598900).

Almost surely, 25472381600 is an apocalyptic number.

5472381600 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 5472381600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11980483200).

5472381600 is an abundant number, since it is smaller than the sum of its proper divisors (18488584800).

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

5472381600 is a wasteful number, since it uses less digits than its factorization.

5472381600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2182 (or 2163 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 5472381600 is about 73975.5473112568. The cubic root of 5472381600 is about 1762.2145848378.

The spelling of 5472381600 in words is "five billion, four hundred seventy-two million, three hundred eighty-one thousand, six hundred".