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42832164 = 22323311499
BaseRepresentation
bin1010001101100…
…1000100100100
32222121002200110
42203121010210
541431112124
64130013020
71030032054
oct243310444
988532613
1042832164
11221a5491
1212417170
138b4899b
14598d564
153b61029
hex28d9124

42832164 has 48 divisors (see below), whose sum is σ = 104832000. Its totient is φ = 13585440.

The previous prime is 42832151. The next prime is 42832177. The reversal of 42832164 is 46123824.

It is an interprime number because it is at equal distance from previous prime (42832151) and next prime (42832177).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 85587 + ... + 86085.

It is an arithmetic number, because the mean of its divisors is an integer number (2184000).

Almost surely, 242832164 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 42832164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52416000).

42832164 is an abundant number, since it is smaller than the sum of its proper divisors (61999836).

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

42832164 is a wasteful number, since it uses less digits than its factorization.

42832164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 840 (or 838 counting only the distinct ones).

The product of its digits is 9216, while the sum is 30.

The square root of 42832164 is about 6544.6286372872. The cubic root of 42832164 is about 349.8834006160.

Adding to 42832164 its reverse (46123824), we get a palindrome (88955988).

The spelling of 42832164 in words is "forty-two million, eight hundred thirty-two thousand, one hundred sixty-four".

Divisors: 1 2 3 4 6 12 23 46 69 92 138 276 311 499 622 933 998 1244 1497 1866 1996 2994 3732 5988 7153 11477 14306 21459 22954 28612 34431 42918 45908 68862 85836 137724 155189 310378 465567 620756 931134 1862268 3569347 7138694 10708041 14277388 21416082 42832164