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56029776 = 243113877
BaseRepresentation
bin1101010110111…
…1001001010000
310220102121101220
43111233021100
5103320423101
65320525040
71250150055
oct325571120
9126377356
1056029776
112969a000
1216920780
13b7b9b1a
14762702c
154dbb636
hex356f250

56029776 has 80 divisors (see below), whose sum is σ = 159388608. Its totient is φ = 16959360.

The previous prime is 56029751. The next prime is 56029777. The reversal of 56029776 is 67792065.

It is a happy number.

56029776 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×560297762 = 6278671597220352, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56029777) 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 15 ways as a sum of consecutive naturals, for example, 63450 + ... + 64326.

Almost surely, 256029776 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 56029776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79694304).

56029776 is an abundant number, since it is smaller than the sum of its proper divisors (103358832).

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

56029776 is a wasteful number, since it uses less digits than its factorization.

56029776 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 921 (or 893 counting only the distinct ones).

The product of its (nonzero) digits is 158760, while the sum is 42.

The square root of 56029776 is about 7485.3040018425. The cubic root of 56029776 is about 382.6540333955.

The spelling of 56029776 in words is "fifty-six million, twenty-nine thousand, seven hundred seventy-six".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 44 48 66 88 121 132 176 242 264 363 484 528 726 877 968 1331 1452 1754 1936 2631 2662 2904 3508 3993 5262 5324 5808 7016 7986 9647 10524 10648 14032 15972 19294 21048 21296 28941 31944 38588 42096 57882 63888 77176 106117 115764 154352 212234 231528 318351 424468 463056 636702 848936 1167287 1273404 1697872 2334574 2546808 3501861 4669148 5093616 7003722 9338296 14007444 18676592 28014888 56029776