56448 has 72 divisors (see below), whose sum is σ = 188955. Its totient is φ = 16128.

The previous prime is 56443. The next prime is 56453. The reversal of 56448 is 84465.

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.

It is an interprime number because it is at equal distance from previous prime (56443) and next prime (56453).

It can be written as a sum of positive squares in only one way, i.e., 28224 + 28224 = 168^2 + 168^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is an ABA number since it can be written as A⋅B^{A}, here for A=2, B=168.

Its product of digits (3840) is a multiple of the sum of its prime divisors (12).

It is a nialpdrome in base 16.

It is not an unprimeable number, because it can be changed into a prime (56443) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 8061 + ... + 8067.

2^{56448} 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 56448

56448 is an abundant number, since it is smaller than the sum of its proper divisors (132507).

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

56448 is a wasteful number, since it uses less digits than its factorization.

56448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34 (or 12 counting only the distinct ones).

The product of its digits is 3840, while the sum is 27.

The square root of 56448 is about 237.5878784787. The cubic root of 56448 is about 38.3603757933.

It can be divided in two parts, 564 and 48, that multiplied together give a palindrome (27072).

The spelling of 56448 in words is "fifty-six thousand, four hundred forty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 49 56 63 64 72 84 96 98 112 126 128 144 147 168 192 196 224 252 288 294 336 384 392 441 448 504 576 588 672 784 882 896 1008 1152 1176 1344 1568 1764 2016 2352 2688 3136 3528 4032 4704 6272 7056 8064 9408 14112 18816 28224 56448

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