Search a number
-
+
41422420 = 22513313509
BaseRepresentation
bin1001111000000…
…0111001010100
32212221110212201
42132000321110
541101004140
64035454244
71012041034
oct236007124
985843781
1041422420
1121422306
1211a57384
138774110
1457038c4
15398349a
hex2780e54

41422420 has 48 divisors (see below), whose sum is σ = 94162320. Its totient is φ = 15215616.

The previous prime is 41422399. The next prime is 41422429. The reversal of 41422420 is 2422414.

It can be written as a sum of positive squares in 8 ways, for example, as 7828804 + 33593616 = 2798^2 + 5796^2 .

It is a nialpdrome in base 13.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41422429) 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, 81126 + ... + 81634.

It is an arithmetic number, because the mean of its divisors is an integer number (1961715).

Almost surely, 241422420 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 41422420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47081160).

41422420 is an abundant number, since it is smaller than the sum of its proper divisors (52739900).

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

41422420 is a wasteful number, since it uses less digits than its factorization.

41422420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 844 (or 842 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 19.

The square root of 41422420 is about 6436.0251708644. The cubic root of 41422420 is about 346.0019044969.

Adding to 41422420 its reverse (2422414), we get a palindrome (43844834).

The spelling of 41422420 in words is "forty-one million, four hundred twenty-two thousand, four hundred twenty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 260 313 509 626 1018 1252 1565 2036 2545 3130 4069 5090 6260 6617 8138 10180 13234 16276 20345 26468 33085 40690 66170 81380 132340 159317 318634 637268 796585 1593170 2071121 3186340 4142242 8284484 10355605 20711210 41422420