Search a number
-
+
56360535 = 3572116971
BaseRepresentation
bin1101011011111…
…1111001010111
310221001102010020
43112333321113
5103412014120
65332000223
71253025300
oct326777127
9127042106
1056360535
11298a5560
1216a60073
13b8a453a
1476b17a7
154e34640
hex35bfe57

56360535 has 48 divisors (see below), whose sum is σ = 114452352. Its totient is φ = 23419200.

The previous prime is 56360531. The next prime is 56360539. The reversal of 56360535 is 53506365.

It is an interprime number because it is at equal distance from previous prime (56360531) and next prime (56360539).

It is not a de Polignac number, because 56360535 - 22 = 56360531 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a junction number, because it is equal to n+sod(n) for n = 56360496 and 56360505.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56360531) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4600 + ... + 11570.

It is an arithmetic number, because the mean of its divisors is an integer number (2384424).

Almost surely, 256360535 is an apocalyptic number.

56360535 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

56360535 is an abundant number, since it is smaller than the sum of its proper divisors (58091817).

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

56360535 is a wasteful number, since it uses less digits than its factorization.

56360535 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7004 (or 6997 counting only the distinct ones).

The product of its (nonzero) digits is 40500, while the sum is 33.

The square root of 56360535 is about 7507.3653834085. The cubic root of 56360535 is about 383.4055268356.

The spelling of 56360535 in words is "fifty-six million, three hundred sixty thousand, five hundred thirty-five".

Divisors: 1 3 5 7 11 15 21 33 35 49 55 77 105 147 165 231 245 385 539 735 1155 1617 2695 6971 8085 20913 34855 48797 76681 104565 146391 230043 243985 341579 383405 536767 731955 1024737 1150215 1610301 1707895 2683835 3757369 5123685 8051505 11272107 18786845 56360535