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42599934 = 23213307593
BaseRepresentation
bin1010001010000…
…0010111111110
32222011022010100
42202200113332
541401144214
64121021530
71025044026
oct242402776
988138110
1042599934
1122056a63
12123248a6
138a97080
14592ca86
153b17309
hex28a05fe

42599934 has 48 divisors (see below), whose sum is σ = 99891792. Its totient is φ = 13042944.

The previous prime is 42599923. The next prime is 42599981. The reversal of 42599934 is 43999524.

It is a happy number.

42599934 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 42599934.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 71542 + ... + 72134.

It is an arithmetic number, because the mean of its divisors is an integer number (2081079).

Almost surely, 242599934 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42599934, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49945896).

42599934 is an abundant number, since it is smaller than the sum of its proper divisors (57291858).

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

42599934 is a wasteful number, since it uses less digits than its factorization.

42599934 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 921 (or 918 counting only the distinct ones).

The product of its digits is 349920, while the sum is 45.

The square root of 42599934 is about 6526.8624928062. The cubic root of 42599934 is about 349.2499147285.

The spelling of 42599934 in words is "forty-two million, five hundred ninety-nine thousand, nine hundred thirty-four".

Divisors: 1 2 3 6 9 13 18 26 39 78 117 234 307 593 614 921 1186 1779 1842 2763 3558 3991 5337 5526 7709 7982 10674 11973 15418 23127 23946 35919 46254 69381 71838 138762 182051 364102 546153 1092306 1638459 2366663 3276918 4733326 7099989 14199978 21299967 42599934