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32100042 = 23132329617
BaseRepresentation
bin111101001110…
…0111011001010
32020101211222110
41322130323022
531204200132
63104003150
7536563062
oct172347312
966354873
1032100042
1117135267
12a9004b6
13685bb10
1443983a2
152c411cc
hex1e9ceca

32100042 has 64 divisors (see below), whose sum is σ = 74753280. Its totient is φ = 9106944.

The previous prime is 32100037. The next prime is 32100043. The reversal of 32100042 is 24000123.

It is not an unprimeable number, because it can be changed into a prime (32100043) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 51718 + ... + 52334.

It is an arithmetic number, because the mean of its divisors is an integer number (1168020).

Almost surely, 232100042 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 32100042, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37376640).

32100042 is an abundant number, since it is smaller than the sum of its proper divisors (42653238).

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

32100042 is a wasteful number, since it uses less digits than its factorization.

32100042 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 687.

The product of its (nonzero) digits is 48, while the sum is 12.

The square root of 32100042 is about 5665.6898962086. The cubic root of 32100042 is about 317.8107136638.

Adding to 32100042 its reverse (24000123), we get a palindrome (56100165).

The spelling of 32100042 in words is "thirty-two million, one hundred thousand, forty-two".

Divisors: 1 2 3 6 13 23 26 29 39 46 58 69 78 87 138 174 299 377 598 617 667 754 897 1131 1234 1334 1794 1851 2001 2262 3702 4002 8021 8671 14191 16042 17342 17893 24063 26013 28382 35786 42573 48126 52026 53679 85146 107358 184483 232609 368966 411539 465218 553449 697827 823078 1106898 1234617 1395654 2469234 5350007 10700014 16050021 32100042