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56504448 = 2732731113
BaseRepresentation
bin1101011110001…
…1000010000000
310221022201112100
43113203002000
5103431120243
65335030400
71254165000
oct327430200
9127281470
1056504448
11299936a0
1216b0b400
13b924bb0
14770c000
154e620d3
hex35e3080

56504448 has 384 divisors, whose sum is σ = 222768000. Its totient is φ = 13547520.

The previous prime is 56504443. The next prime is 56504467. The reversal of 56504448 is 84440565.

It is a tau number, because it is divible by the number of its divisors (384).

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

It is not an unprimeable number, because it can be changed into a prime (56504443) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4346490 + ... + 4346502.

It is an arithmetic number, because the mean of its divisors is an integer number (580125).

Almost surely, 256504448 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 56504448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111384000).

56504448 is an abundant number, since it is smaller than the sum of its proper divisors (166263552).

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

56504448 is a wasteful number, since it uses less digits than its factorization.

56504448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65 (or 36 counting only the distinct ones).

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

The square root of 56504448 is about 7516.9440599222. The cubic root of 56504448 is about 383.7315832532.

The spelling of 56504448 in words is "fifty-six million, five hundred four thousand, four hundred forty-eight".