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56754009 = 3213509953
BaseRepresentation
bin1101100001111…
…1111101011001
310221210101212100
43120133331121
5104012112014
65344234013
71256254404
oct330377531
9127711770
1056754009
112a044144
121700b909
13b9b1670
147774d3b
154eb1009
hex361ff59

56754009 has 24 divisors (see below), whose sum is σ = 88550280. Its totient is φ = 34820352.

The previous prime is 56753999. The next prime is 56754013. The reversal of 56754009 is 90045765.

It can be written as a sum of positive squares in 4 ways, for example, as 5774409 + 50979600 = 2403^2 + 7140^2 .

It is not a de Polignac number, because 56754009 - 215 = 56721241 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56754029) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 59077 + ... + 60029.

It is an arithmetic number, because the mean of its divisors is an integer number (3689595).

Almost surely, 256754009 is an apocalyptic number.

It is an amenable number.

56754009 is a deficient number, since it is larger than the sum of its proper divisors (31796271).

56754009 is a wasteful number, since it uses less digits than its factorization.

56754009 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1481 (or 1478 counting only the distinct ones).

The product of its (nonzero) digits is 37800, while the sum is 36.

The square root of 56754009 is about 7533.5256686362. The cubic root of 56754009 is about 384.2956910335.

The spelling of 56754009 in words is "fifty-six million, seven hundred fifty-four thousand, nine".

Divisors: 1 3 9 13 39 117 509 953 1527 2859 4581 6617 8577 12389 19851 37167 59553 111501 485077 1455231 4365693 6306001 18918003 56754009