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56246080 = 2651119292
BaseRepresentation
bin1101011010001…
…1111101000000
310220211121010011
43112203331000
5103344333310
65325314304
71252040512
oct326437500
9126747104
1056246080
1129827570
1216a05994
13b864407
147681bb2
154e1078a
hex35a3f40

56246080 has 168 divisors, whose sum is σ = 159288480. Its totient is φ = 18708480.

The previous prime is 56246077. The next prime is 56246083. The reversal of 56246080 is 8064265.

56246080 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (56246077) and next prime (56246083).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56246083) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 1939506 + ... + 1939534.

Almost surely, 256246080 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 56246080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79644240).

56246080 is an abundant number, since it is smaller than the sum of its proper divisors (103042400).

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

56246080 is a wasteful number, since it uses less digits than its factorization.

56246080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105 (or 66 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 31.

The square root of 56246080 is about 7499.7386621135. The cubic root of 56246080 is about 383.1458154479.

The spelling of 56246080 in words is "fifty-six million, two hundred forty-six thousand, eighty".