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41922 = 23217137
BaseRepresentation
bin1010001111000010
32010111200
422033002
52320142
6522030
7233136
oct121702
963450
1041922
1129551
1220316
131610a
14113c6
15c64c
hexa3c2

41922 has 24 divisors (see below), whose sum is σ = 96876. Its totient is φ = 13056.

The previous prime is 41911. The next prime is 41927. The reversal of 41922 is 22914.

It can be written as a sum of positive squares in 2 ways, for example, as 40401 + 1521 = 201^2 + 39^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 41895 and 41904.

It is not an unprimeable number, because it can be changed into a prime (41927) by changing a digit.

41922 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

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 11 ways as a sum of consecutive naturals, for example, 238 + ... + 374.

241922 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 41922, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48438).

41922 is an abundant number, since it is smaller than the sum of its proper divisors (54954).

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

41922 is a wasteful number, since it uses less digits than its factorization.

41922 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 162 (or 159 counting only the distinct ones).

The product of its digits is 144, while the sum is 18.

The square root of 41922 is about 204.7486263690. The cubic root of 41922 is about 34.7387348541.

It can be divided in two parts, 419 and 22, that added together give a square (441 = 212).

The spelling of 41922 in words is "forty-one thousand, nine hundred twenty-two".

Divisors: 1 2 3 6 9 17 18 34 51 102 137 153 274 306 411 822 1233 2329 2466 4658 6987 13974 20961 41922