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56341544 = 2374153463
BaseRepresentation
bin1101011011101…
…1010000101000
310221000110001212
43112323100220
5103410412134
65331332252
71252616030
oct326732050
9127013055
1056341544
1129892266
1216a51088
13b8989bc
1476a88c0
154e2dbce
hex35bb428

56341544 has 64 divisors (see below), whose sum is σ = 126282240. Its totient is φ = 23063040.

The previous prime is 56341543. The next prime is 56341609. The reversal of 56341544 is 44514365.

56341544 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 56341544.

It is not an unprimeable number, because it can be changed into a prime (56341543) 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, 121457 + ... + 121919.

It is an arithmetic number, because the mean of its divisors is an integer number (1973160).

Almost surely, 256341544 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 56341544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63141120).

56341544 is an abundant number, since it is smaller than the sum of its proper divisors (69940696).

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

56341544 is a wasteful number, since it uses less digits than its factorization.

56341544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 570 (or 566 counting only the distinct ones).

The product of its digits is 28800, while the sum is 32.

The square root of 56341544 is about 7506.1004522988. The cubic root of 56341544 is about 383.3624584466.

The spelling of 56341544 in words is "fifty-six million, three hundred forty-one thousand, five hundred forty-four".

Divisors: 1 2 4 7 8 14 28 41 53 56 82 106 164 212 287 328 371 424 463 574 742 926 1148 1484 1852 2173 2296 2968 3241 3704 4346 6482 8692 12964 15211 17384 18983 24539 25928 30422 37966 49078 60844 75932 98156 121688 132881 151864 171773 196312 265762 343546 531524 687092 1006099 1063048 1374184 2012198 4024396 7042693 8048792 14085386 28170772 56341544