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54887040 = 2732513733
BaseRepresentation
bin1101000101100…
…0001010000000
310211021112212100
43101120022000
5103022341130
65240230400
71234350345
oct321301200
9124245770
1054887040
1128a8949a
121646b400
13b4a9950
14740a7cc
154c42c60
hex3458280

54887040 has 192 divisors, whose sum is σ = 204389640. Its totient is φ = 13492224.

The previous prime is 54886943. The next prime is 54887057. The reversal of 54887040 is 4078845.

54887040 is a `hidden beast` number, since 548 + 8 + 70 + 40 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 48776256 + 6110784 = 6984^2 + 2472^2 .

It is a tau number, because it is divible by the number of its divisors (192).

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

It is a junction number, because it is equal to n+sod(n) for n = 54886986 and 54887004.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 74514 + ... + 75246.

Almost surely, 254887040 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 54887040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102194820).

54887040 is an abundant number, since it is smaller than the sum of its proper divisors (149502600).

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

54887040 is a wasteful number, since it uses less digits than its factorization.

54887040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 771 (or 756 counting only the distinct ones).

The product of its (nonzero) digits is 35840, while the sum is 36.

The square root of 54887040 is about 7408.5788110811. The cubic root of 54887040 is about 380.0347152034.

The spelling of 54887040 in words is "fifty-four million, eight hundred eighty-seven thousand, forty".