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56029248 = 26321137239
BaseRepresentation
bin1101010110111…
…1000001000000
310220102120200100
43111233001000
5103320413443
65320522400
71250145402
oct325570100
9126376610
1056029248
1129699670
1216920400
13b7b9802
147626b72
154dbb3d3
hex356f040

56029248 has 168 divisors, whose sum is σ = 180685440. Its totient is φ = 16450560.

The previous prime is 56029199. The next prime is 56029261. The reversal of 56029248 is 84292065.

It is a happy number.

56029248 is a `hidden beast` number, since 5 + 602 + 9 + 2 + 48 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 234313 + ... + 234551.

Almost surely, 256029248 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 56029248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90342720).

56029248 is an abundant number, since it is smaller than the sum of its proper divisors (124656192).

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

56029248 is a wasteful number, since it uses less digits than its factorization.

56029248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 305 (or 292 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 56029248 is about 7485.2687326508. The cubic root of 56029248 is about 382.6528314039.

The spelling of 56029248 in words is "fifty-six million, twenty-nine thousand, two hundred forty-eight".