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56427648 = 273236389
BaseRepresentation
bin1101011101000…
…0010010000000
310221011211011220
43113100102000
5103421141043
65333235040
71253425044
oct327202200
9127154156
1056427648
1129940a22
1216a92a80
13b8c8c54
1476cc024
154e49483
hex35d0480

56427648 has 64 divisors (see below), whose sum is σ = 156427200. Its totient is φ = 17988608.

The previous prime is 56427647. The next prime is 56427667. The reversal of 56427648 is 84672465.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56427647) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5638 + ... + 12026.

It is an arithmetic number, because the mean of its divisors is an integer number (2444175).

Almost surely, 256427648 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 56427648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78213600).

56427648 is an abundant number, since it is smaller than the sum of its proper divisors (99999552).

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

56427648 is a wasteful number, since it uses less digits than its factorization.

56427648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6429 (or 6417 counting only the distinct ones).

The product of its digits is 322560, while the sum is 42.

The square root of 56427648 is about 7511.8338639776. The cubic root of 56427648 is about 383.5576503522.

It can be divided in two parts, 56427 and 648, that added together give a palindrome (57075).

The spelling of 56427648 in words is "fifty-six million, four hundred twenty-seven thousand, six hundred forty-eight".

Divisors: 1 2 3 4 6 8 12 16 23 24 32 46 48 64 69 92 96 128 138 184 192 276 368 384 552 736 1104 1472 2208 2944 4416 6389 8832 12778 19167 25556 38334 51112 76668 102224 146947 153336 204448 293894 306672 408896 440841 587788 613344 817792 881682 1175576 1226688 1763364 2351152 2453376 3526728 4702304 7053456 9404608 14106912 18809216 28213824 56427648