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57335742 = 2331061773
BaseRepresentation
bin1101101010110…
…1111110111110
310222212221212000
43122231332332
5104134220432
65404523130
71264226412
oct332557676
9128787760
1057335742
112a401212
12172504a6
13bb56399
147886d42
15507857c
hex36adfbe

57335742 has 16 divisors (see below), whose sum is σ = 127412880. Its totient is φ = 19111896.

The previous prime is 57335737. The next prime is 57335743. The reversal of 57335742 is 24753375.

57335742 is a `hidden beast` number, since 57 + 33 + 574 + 2 = 666.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 57335697 and 57335706.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57335743) 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 7 ways as a sum of consecutive naturals, for example, 530833 + ... + 530940.

It is an arithmetic number, because the mean of its divisors is an integer number (7963305).

Almost surely, 257335742 is an apocalyptic number.

57335742 is an abundant number, since it is smaller than the sum of its proper divisors (70077138).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

57335742 is a wasteful number, since it uses less digits than its factorization.

57335742 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1061784 (or 1061778 counting only the distinct ones).

The product of its digits is 88200, while the sum is 36.

The square root of 57335742 is about 7572.0368461861. The cubic root of 57335742 is about 385.6042504467.

It can be divided in two parts, 573 and 35742, that added together give a triangular number (36315 = T269).

The spelling of 57335742 in words is "fifty-seven million, three hundred thirty-five thousand, seven hundred forty-two".

Divisors: 1 2 3 6 9 18 27 54 1061773 2123546 3185319 6370638 9555957 19111914 28667871 57335742