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42879342 = 23112943521
BaseRepresentation
bin1010001110010…
…0100101101110
32222200111101210
42203210211232
541434114332
64131015250
71030316442
oct243444556
988614353
1042879342
1122227980
121243a526
138b642bc
1459a2822
153b6eecc
hex28e496e

42879342 has 64 divisors (see below), whose sum is σ = 99221760. Its totient is φ = 12230400.

The previous prime is 42879341. The next prime is 42879349. The reversal of 42879342 is 24397824.

42879342 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 42879342.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42879341) 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, 82042 + ... + 82562.

It is an arithmetic number, because the mean of its divisors is an integer number (1550340).

Almost surely, 242879342 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42879342, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49610880).

42879342 is an abundant number, since it is smaller than the sum of its proper divisors (56342418).

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

42879342 is a wasteful number, since it uses less digits than its factorization.

42879342 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 609.

The product of its digits is 96768, while the sum is 39.

The square root of 42879342 is about 6548.2319751212. The cubic root of 42879342 is about 350.0118145672.

The spelling of 42879342 in words is "forty-two million, eight hundred seventy-nine thousand, three hundred forty-two".

Divisors: 1 2 3 6 11 22 29 33 43 58 66 86 87 129 174 258 319 473 521 638 946 957 1042 1247 1419 1563 1914 2494 2838 3126 3741 5731 7482 11462 13717 15109 17193 22403 27434 30218 34386 41151 44806 45327 67209 82302 90654 134418 166199 246433 332398 492866 498597 649687 739299 997194 1299374 1478598 1949061 3898122 7146557 14293114 21439671 42879342