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57535742 = 21122310337
BaseRepresentation
bin1101101101111…
…0110011111110
311000021010012102
43123132303332
5104212120432
65413105102
71266021455
oct333366376
9130233172
1057535742
112a528500
1217328192
13bbc6424
1478d9b9c
1550b7962
hex36decfe

57535742 has 24 divisors (see below), whose sum is σ = 98996688. Its totient is φ = 25013120.

The previous prime is 57535733. The next prime is 57535771. The reversal of 57535742 is 24753575.

It is a junction number, because it is equal to n+sod(n) for n = 57535696 and 57535705.

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 398 + ... + 10734.

It is an arithmetic number, because the mean of its divisors is an integer number (4124862).

Almost surely, 257535742 is an apocalyptic number.

57535742 is a deficient number, since it is larger than the sum of its proper divisors (41460946).

57535742 is a wasteful number, since it uses less digits than its factorization.

57535742 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10384 (or 10373 counting only the distinct ones).

The product of its digits is 147000, while the sum is 38.

The square root of 57535742 is about 7585.2318356132. The cubic root of 57535742 is about 386.0520883289.

The spelling of 57535742 in words is "fifty-seven million, five hundred thirty-five thousand, seven hundred forty-two".

Divisors: 1 2 11 22 23 46 121 242 253 506 2783 5566 10337 20674 113707 227414 237751 475502 1250777 2501554 2615261 5230522 28767871 57535742