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41772 = 223592
BaseRepresentation
bin1010001100101100
32010022010
422030230
52314042
6521220
7232533
oct121454
963263
1041772
1129425
1220210
1316023
141131a
15c59c
hexa32c

41772 has 18 divisors (see below), whose sum is σ = 99148. Its totient is φ = 13688.

The previous prime is 41771. The next prime is 41777. The reversal of 41772 is 27714.

It is not an unprimeable number, because it can be changed into a prime (41771) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 679 + ... + 737.

241772 is an apocalyptic number.

It is an amenable number.

41772 is an abundant number, since it is smaller than the sum of its proper divisors (57376).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49574).

41772 is a wasteful number, since it uses less digits than its factorization.

41772 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125 (or 64 counting only the distinct ones).

The product of its digits is 392, while the sum is 21.

The square root of 41772 is about 204.3819952931. The cubic root of 41772 is about 34.6972527564.

The spelling of 41772 in words is "forty-one thousand, seven hundred seventy-two", and thus it is an iban number.

Divisors: 1 2 3 4 6 12 59 118 177 236 354 708 3481 6962 10443 13924 20886 41772