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56352501 = 32171732129
BaseRepresentation
bin1101011011110…
…1111011110101
310221001000002200
43112331323311
5103411240001
65331455113
71252663002
oct326757365
9127030080
1056352501
112989a517
1216a57499
13b8a099a
1476ac8a9
154e32086
hex35bdef5

56352501 has 24 divisors (see below), whose sum is σ = 86725080. Its totient is φ = 35137536.

The previous prime is 56352497. The next prime is 56352503. The reversal of 56352501 is 10525365.

56352501 is a `hidden beast` number, since 5 + 635 + 25 + 0 + 1 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 20711601 + 35640900 = 4551^2 + 5970^2 .

It is not a de Polignac number, because 56352501 - 22 = 56352497 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56352503) 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 23 ways as a sum of consecutive naturals, for example, 25405 + ... + 27533.

It is an arithmetic number, because the mean of its divisors is an integer number (3613545).

Almost surely, 256352501 is an apocalyptic number.

56352501 is a gapful number since it is divisible by the number (51) formed by its first and last digit.

It is an amenable number.

56352501 is a deficient number, since it is larger than the sum of its proper divisors (30372579).

56352501 is a wasteful number, since it uses less digits than its factorization.

56352501 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2325 (or 2322 counting only the distinct ones).

The product of its (nonzero) digits is 4500, while the sum is 27.

The square root of 56352501 is about 7506.8302898094. The cubic root of 56352501 is about 383.3873082578.

Adding to 56352501 its reverse (10525365), we get a palindrome (66877866).

The spelling of 56352501 in words is "fifty-six million, three hundred fifty-two thousand, five hundred one".

Divisors: 1 3 9 17 51 153 173 519 1557 2129 2941 6387 8823 19161 26469 36193 108579 325737 368317 1104951 3314853 6261389 18784167 56352501