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56033532 = 22341631061
BaseRepresentation
bin1101010111000…
…0000011111100
310220102210120000
43111300003330
5103321033112
65320554300
71250164032
oct325600374
9126383500
1056033532
11296a1905
1216922990
13b7bb749
147628552
154dbc7dc
hex35700fc

56033532 has 60 divisors (see below), whose sum is σ = 147520296. Its totient is φ = 18545760.

The previous prime is 56033531. The next prime is 56033557. The reversal of 56033532 is 23533065.

56033532 is a `hidden beast` number, since 5 + 603 + 3 + 53 + 2 = 666.

56033532 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 (27).

It is a junction number, because it is equal to n+sod(n) for n = 56033496 and 56033505.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56033531) 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 19 ways as a sum of consecutive naturals, for example, 52282 + ... + 53342.

Almost surely, 256033532 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 56033532, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73760148).

56033532 is an abundant number, since it is smaller than the sum of its proper divisors (91486764).

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

56033532 is a wasteful number, since it uses less digits than its factorization.

56033532 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1240 (or 1229 counting only the distinct ones).

The product of its (nonzero) digits is 8100, while the sum is 27.

The square root of 56033532 is about 7485.5548892517. The cubic root of 56033532 is about 382.6625837090.

Adding to 56033532 its reverse (23533065), we get a palindrome (79566597).

It can be divided in two parts, 56033 and 532, that added together give a palindrome (56565).

The spelling of 56033532 in words is "fifty-six million, thirty-three thousand, five hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 163 324 326 489 652 978 1061 1467 1956 2122 2934 3183 4244 4401 5868 6366 8802 9549 12732 13203 17604 19098 26406 28647 38196 52812 57294 85941 114588 171882 172943 343764 345886 518829 691772 1037658 1556487 2075316 3112974 4669461 6225948 9338922 14008383 18677844 28016766 56033532