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56201040 = 243557259
BaseRepresentation
bin1101011001100…
…0111101010000
310220202022100000
43112120331100
5103341413130
65324330000
71251462300
oct326307520
9126668300
1056201040
11297a6745
12169a3900
13b849a6c
14766d600
154e02260
hex3598f50

56201040 has 360 divisors, whose sum is σ = 231547680. Its totient is φ = 12628224.

The previous prime is 56201003. The next prime is 56201053. The reversal of 56201040 is 4010265.

It is a happy number.

56201040 is a `hidden beast` number, since 5 + 620 + 1 + 0 + 40 = 666.

56201040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

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 71 ways as a sum of consecutive naturals, for example, 952531 + ... + 952589.

It is an arithmetic number, because the mean of its divisors is an integer number (643188).

Almost surely, 256201040 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 56201040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115773840).

56201040 is an abundant number, since it is smaller than the sum of its proper divisors (175346640).

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

56201040 is a wasteful number, since it uses less digits than its factorization.

56201040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101 (or 76 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 56201040 is about 7496.7352894443. The cubic root of 56201040 is about 383.0435179732.

The spelling of 56201040 in words is "fifty-six million, two hundred one thousand, forty".