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52740000 = 253254293
BaseRepresentation
bin1100100100101…
…1111110100000
310200020110200100
43021023332200
5102000140000
65122222400
71210165635
oct311137640
9120213610
1052740000
1127852385
12157b4a00
13ac07601
14700c18c
15496ba00
hex324bfa0

52740000 has 180 divisors, whose sum is σ = 188053866. Its totient is φ = 14016000.

The previous prime is 52739993. The next prime is 52740013. The reversal of 52740000 is 4725.

It is a happy number.

52740000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 5 ways, for example, as 7420176 + 45319824 = 2724^2 + 6732^2 .

It is a tau number, because it is divible by the number of its divisors (180).

It is a Harshad number since it is a multiple of its sum of digits (18).

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 29 ways as a sum of consecutive naturals, for example, 179854 + ... + 180146.

Almost surely, 252740000 is an apocalyptic number.

52740000 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 52740000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94026933).

52740000 is an abundant number, since it is smaller than the sum of its proper divisors (135313866).

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

52740000 is a wasteful number, since it uses less digits than its factorization.

52740000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 329 (or 303 counting only the distinct ones).

The product of its (nonzero) digits is 280, while the sum is 18.

The square root of 52740000 is about 7262.2310621461. The cubic root of 52740000 is about 375.0133328593.

Adding to 52740000 its reverse (4725), we get a palindrome (52744725).

The spelling of 52740000 in words is "fifty-two million, seven hundred forty thousand".