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57542001 = 3112516947
BaseRepresentation
bin1101101110000…
…0010101110001
311000021102210020
43123200111301
5104212321001
65413154053
71266045636
oct333402561
9130242706
1057542001
112a532180
121732b929
13bbc922a
1478dc18d
1550b9736
hex36e0571

57542001 has 16 divisors (see below), whose sum is σ = 84043008. Its totient is φ = 34730000.

The previous prime is 57541987. The next prime is 57542011. The reversal of 57542001 is 10024575.

57542001 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 57542001 - 27 = 57541873 is a prime.

It is a super-2 number, since 2×575420012 = 6622163758168002, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (57542011) 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, 4810 + ... + 11756.

It is an arithmetic number, because the mean of its divisors is an integer number (5252688).

Almost surely, 257542001 is an apocalyptic number.

It is an amenable number.

57542001 is a deficient number, since it is larger than the sum of its proper divisors (26501007).

57542001 is a wasteful number, since it uses less digits than its factorization.

57542001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7212.

The product of its (nonzero) digits is 1400, while the sum is 24.

The square root of 57542001 is about 7585.6444024222. The cubic root of 57542001 is about 386.0660866560.

Adding to 57542001 its reverse (10024575), we get a palindrome (67566576).

The spelling of 57542001 in words is "fifty-seven million, five hundred forty-two thousand, one".

Divisors: 1 3 11 33 251 753 2761 6947 8283 20841 76417 229251 1743697 5231091 19180667 57542001