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54246528 = 273272312
BaseRepresentation
bin1100111011101…
…1110010000000
310210002000020200
43032323302000
5102341342103
65214405200
71226042100
oct316736200
9123060220
1054246528
1128691246
1216200800
13b31424b
1472c1200
154b680a3
hex33bbc80

54246528 has 216 divisors, whose sum is σ = 187632315. Its totient is φ = 14999040.

The previous prime is 54246527. The next prime is 54246587. The reversal of 54246528 is 82564245.

It is a happy number.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

54246528 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 only one way, i.e., 27123264 + 27123264 = 5208^2 + 5208^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=5208.

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

Its product of digits (76800) is a multiple of the sum of its prime factors (96).

It is a junction number, because it is equal to n+sod(n) for n = 54246492 and 54246501.

It is not an unprimeable number, because it can be changed into a prime (54246527) 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 26 ways as a sum of consecutive naturals, for example, 1749873 + ... + 1749903.

Almost surely, 254246528 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 54246528

54246528 is an abundant number, since it is smaller than the sum of its proper divisors (133385787).

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

54246528 is a wasteful number, since it uses less digits than its factorization.

54246528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96 (or 43 counting only the distinct ones).

The product of its digits is 76800, while the sum is 36.

The square root of 54246528 is about 7365.2242328391. The cubic root of 54246528 is about 378.5506378180.

The spelling of 54246528 in words is "fifty-four million, two hundred forty-six thousand, five hundred twenty-eight".