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56113008 = 24372353137
BaseRepresentation
bin1101011000001…
…1011101110000
310220120211120120
43112003131300
5103331104013
65322410240
71250644530
oct326033560
9126524516
1056113008
1129746596
1216960980
13b818983
1476494c0
154dd6123
hex3583770

56113008 has 160 divisors (see below), whose sum is σ = 177417216. Its totient is φ = 14936064.

The previous prime is 56113003. The next prime is 56113019. The reversal of 56113008 is 80031165.

56113008 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56113003) 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 31 ways as a sum of consecutive naturals, for example, 409516 + ... + 409652.

Almost surely, 256113008 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 56113008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88708608).

56113008 is an abundant number, since it is smaller than the sum of its proper divisors (121304208).

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

56113008 is a wasteful number, since it uses less digits than its factorization.

56113008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 231 (or 225 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 24.

The square root of 56113008 is about 7490.8616326829. The cubic root of 56113008 is about 382.8434166440.

The spelling of 56113008 in words is "fifty-six million, one hundred thirteen thousand, eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 23 24 28 42 46 48 53 56 69 84 92 106 112 137 138 159 161 168 184 212 274 276 318 322 336 368 371 411 424 483 548 552 636 644 742 822 848 959 966 1096 1104 1113 1219 1272 1288 1484 1644 1918 1932 2192 2226 2438 2544 2576 2877 2968 3151 3288 3657 3836 3864 4452 4876 5754 5936 6302 6576 7261 7314 7672 7728 8533 8904 9453 9752 11508 12604 14522 14628 15344 17066 17808 18906 19504 21783 22057 23016 25208 25599 29044 29256 34132 37812 43566 44114 46032 50416 50827 51198 58088 58512 66171 68264 75624 87132 88228 101654 102396 116176 132342 136528 151248 152481 167003 174264 176456 203308 204792 264684 304962 334006 348528 352912 406616 409584 501009 529368 609924 668012 813232 1002018 1058736 1169021 1219848 1336024 2004036 2338042 2439696 2672048 3507063 4008072 4676084 7014126 8016144 9352168 14028252 18704336 28056504 56113008