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56181328 = 24717191553
BaseRepresentation
bin1101011001010…
…0001001010000
310220201022021221
43112110021100
5103340300303
65324054424
71251350650
oct326241120
9126638257
1056181328
1129792955
1216994414
13b840ab8
147666360
154deb4bd
hex3594250

56181328 has 80 divisors (see below), whose sum is σ = 138741120. Its totient is φ = 21454848.

The previous prime is 56181319. The next prime is 56181329. The reversal of 56181328 is 82318165.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a junction number, because it is equal to n+sod(n) for n = 56181293 and 56181302.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56181329) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 35400 + ... + 36952.

It is an arithmetic number, because the mean of its divisors is an integer number (1734264).

Almost surely, 256181328 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 56181328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69370560).

56181328 is an abundant number, since it is smaller than the sum of its proper divisors (82559792).

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

56181328 is a wasteful number, since it uses less digits than its factorization.

56181328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1604 (or 1598 counting only the distinct ones).

The product of its digits is 11520, while the sum is 34.

The square root of 56181328 is about 7495.4204685261. The cubic root of 56181328 is about 382.9987297347.

The spelling of 56181328 in words is "fifty-six million, one hundred eighty-one thousand, three hundred twenty-eight".

Divisors: 1 2 4 7 8 14 16 17 19 28 34 38 56 68 76 112 119 133 136 152 238 266 272 304 323 476 532 646 952 1064 1292 1553 1904 2128 2261 2584 3106 4522 5168 6212 9044 10871 12424 18088 21742 24848 26401 29507 36176 43484 52802 59014 86968 105604 118028 173936 184807 206549 211208 236056 369614 413098 422416 472112 501619 739228 826196 1003238 1478456 1652392 2006476 2956912 3304784 3511333 4012952 7022666 8025904 14045332 28090664 56181328