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57051753 = 3112375167
BaseRepresentation
bin1101100110100…
…0101001101001
310222100112021220
43121220221221
5104101124003
65354452253
71261634433
oct331505151
9128315256
1057051753
112a227910
1217134089
13ba87045
147811653
15501e353
hex3668a69

57051753 has 16 divisors (see below), whose sum is σ = 86593536. Its totient is φ = 33073040.

The previous prime is 57051739. The next prime is 57051821. The reversal of 57051753 is 35715075.

57051753 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 57051753 - 25 = 57051721 is a prime.

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

It is not an unprimeable number, because it can be changed into a prime (57051703) 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, 36825 + ... + 38342.

It is an arithmetic number, because the mean of its divisors is an integer number (5412096).

Almost surely, 257051753 is an apocalyptic number.

It is an amenable number.

57051753 is a deficient number, since it is larger than the sum of its proper divisors (29541783).

57051753 is a wasteful number, since it uses less digits than its factorization.

57051753 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75204.

The product of its (nonzero) digits is 18375, while the sum is 33.

The square root of 57051753 is about 7553.2610837969. The cubic root of 57051753 is about 384.9665524437.

The spelling of 57051753 in words is "fifty-seven million, fifty-one thousand, seven hundred fifty-three".

Divisors: 1 3 11 23 33 69 253 759 75167 225501 826837 1728841 2480511 5186523 19017251 57051753