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42181932 = 22313594583
BaseRepresentation
bin1010000011101…
…0010100101100
32221101001201210
42200322110230
541244310212
64104034420
71021353252
oct240722454
987331653
1042181932
11218a0a01
1212162a10
13897ba30
1458605d2
153a8353c
hex283a52c

42181932 has 48 divisors (see below), whose sum is σ = 107815680. Its totient is φ = 12756288.

The previous prime is 42181903. The next prime is 42181939. The reversal of 42181932 is 23918124.

It is a self number, because there is not a number n which added to its sum of digits gives 42181932.

It is not an unprimeable number, because it can be changed into a prime (42181939) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6913 + ... + 11495.

It is an arithmetic number, because the mean of its divisors is an integer number (2246160).

Almost surely, 242181932 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42181932, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53907840).

42181932 is an abundant number, since it is smaller than the sum of its proper divisors (65633748).

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

42181932 is a wasteful number, since it uses less digits than its factorization.

42181932 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4662 (or 4660 counting only the distinct ones).

The product of its digits is 3456, while the sum is 30.

The square root of 42181932 is about 6494.7618893998. The cubic root of 42181932 is about 348.1038466669.

The spelling of 42181932 in words is "forty-two million, one hundred eighty-one thousand, nine hundred thirty-two".

Divisors: 1 2 3 4 6 12 13 26 39 52 59 78 118 156 177 236 354 708 767 1534 2301 3068 4583 4602 9166 9204 13749 18332 27498 54996 59579 119158 178737 238316 270397 357474 540794 714948 811191 1081588 1622382 3244764 3515161 7030322 10545483 14060644 21090966 42181932