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56355030 = 23255910613
BaseRepresentation
bin1101011011111…
…0100011010110
310221001010120100
43112332203112
5103411330110
65331514530
71253003244
oct326764326
9127033510
1056355030
11298a1406
1216a58a46
13b8a1b94
1476ad794
154e32bc0
hex35be8d6

56355030 has 48 divisors (see below), whose sum is σ = 149020560. Its totient is φ = 14771904.

The previous prime is 56354957. The next prime is 56355031. The reversal of 56355030 is 3055365.

It is a happy number.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 56354985 and 56355003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56355031) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4 + ... + 10616.

It is an arithmetic number, because the mean of its divisors is an integer number (3104595).

Almost surely, 256355030 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 56355030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74510280).

56355030 is an abundant number, since it is smaller than the sum of its proper divisors (92665530).

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

56355030 is a wasteful number, since it uses less digits than its factorization.

56355030 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10685 (or 10682 counting only the distinct ones).

The product of its (nonzero) digits is 6750, while the sum is 27.

The square root of 56355030 is about 7506.9987345143. The cubic root of 56355030 is about 383.3930434188.

The spelling of 56355030 in words is "fifty-six million, three hundred fifty-five thousand, thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 59 90 118 177 295 354 531 590 885 1062 1770 2655 5310 10613 21226 31839 53065 63678 95517 106130 159195 191034 318390 477585 626167 955170 1252334 1878501 3130835 3757002 5635503 6261670 9392505 11271006 18785010 28177515 56355030