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54487680 = 2735133759
BaseRepresentation
bin1100111111011…
…0101010000000
310210112021001020
43033312222000
5102422101210
65223505440
71231065132
oct317665200
9123467036
1054487680
1128836445
12162b8280
13b399c40
147345052
154bb4770
hex33f6a80

54487680 has 256 divisors, whose sum is σ = 195350400. Its totient is φ = 12828672.

The previous prime is 54487679. The next prime is 54487681. The reversal of 54487680 is 8678445.

54487680 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (54487679) and next prime (54487681).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54487681) 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 31 ways as a sum of consecutive naturals, for example, 923491 + ... + 923549.

Almost surely, 254487680 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 54487680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97675200).

54487680 is an abundant number, since it is smaller than the sum of its proper divisors (140862720).

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

54487680 is a wasteful number, since it uses less digits than its factorization.

54487680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131 (or 119 counting only the distinct ones).

The product of its (nonzero) digits is 215040, while the sum is 42.

The square root of 54487680 is about 7381.5770672669. The cubic root of 54487680 is about 379.1107554049.

The spelling of 54487680 in words is "fifty-four million, four hundred eighty-seven thousand, six hundred eighty".