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57066042 = 231117181281
BaseRepresentation
bin1101100110110…
…0001000111010
310222101020220010
43121230020322
5104102103132
65355042350
71262024205
oct331541072
9128336803
1057066042
112a237620
12171403b6
13ba906b7
14781693c
1550236cc
hex366c23a

57066042 has 64 divisors (see below), whose sum is σ = 133031808. Its totient is φ = 16128000.

The previous prime is 57066041. The next prime is 57066077. The reversal of 57066042 is 24066075.

57066042 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (57066041) 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 31 ways as a sum of consecutive naturals, for example, 202942 + ... + 203222.

It is an arithmetic number, because the mean of its divisors is an integer number (2078622).

Almost surely, 257066042 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 57066042, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66515904).

57066042 is an abundant number, since it is smaller than the sum of its proper divisors (75965766).

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

57066042 is a wasteful number, since it uses less digits than its factorization.

57066042 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 495.

The product of its (nonzero) digits is 10080, while the sum is 30.

The square root of 57066042 is about 7554.2069074126. The cubic root of 57066042 is about 384.9986889257.

The spelling of 57066042 in words is "fifty-seven million, sixty-six thousand, forty-two".

Divisors: 1 2 3 6 11 17 22 33 34 51 66 102 181 187 281 362 374 543 561 562 843 1086 1122 1686 1991 3077 3091 3982 4777 5973 6154 6182 9231 9273 9554 11946 14331 18462 18546 28662 33847 50861 52547 67694 101541 101722 105094 152583 157641 203082 305166 315282 559471 864637 1118942 1678413 1729274 2593911 3356826 5187822 9511007 19022014 28533021 57066042