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5475600 = 243452132

5475600 has 225 divisors, whose sum is σ = 21279423. Its totient is φ = 1347840.

The previous prime is 5475571. The next prime is 5475637. The reversal of 5475600 is 65745.

The square root of 5475600 is 2340.

It is a perfect power (a square), and thus also a powerful number.

5475600 is a `hidden beast` number, since 54 + 7 + 5 + 600 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1411344 + 4064256 = 1188^2 + 2016^2 .

It is a tau number, because it is divible by the number of its divisors (225).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 421194 + ... + 421206.

Almost surely, 25475600 is an apocalyptic number.

5475600 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

5475600 is the 2340-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5475600

5475600 is an abundant number, since it is smaller than the sum of its proper divisors (15803823).

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

5475600 is a wasteful number, since it uses less digits than its factorization.

5475600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56 (or 23 counting only the distinct ones).

The product of its (nonzero) digits is 4200, while the sum is 27.

The cubic root of 5475600 is about 176.2559979851.

The spelling of 5475600 in words is "five million, four hundred seventy-five thousand, six hundred".