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41442384 = 2431078069
BaseRepresentation
bin1001111000010…
…1110001010000
32212222111021010
42132011301100
541102124014
64040130520
71012153164
oct236056120
985874233
1041442384
1121436305
1211a66a40
138780229
14570aca4
153989359
hex2785c50

41442384 has 40 divisors (see below), whose sum is σ = 108073440. Its totient is φ = 13683328.

The previous prime is 41442383. The next prime is 41442397. The reversal of 41442384 is 48324414.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41442383) 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 7 ways as a sum of consecutive naturals, for example, 1102 + ... + 9170.

It is an arithmetic number, because the mean of its divisors is an integer number (2701836).

Almost surely, 241442384 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 41442384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54036720).

41442384 is an abundant number, since it is smaller than the sum of its proper divisors (66631056).

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

41442384 is a wasteful number, since it uses less digits than its factorization.

41442384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8187 (or 8181 counting only the distinct ones).

The product of its digits is 12288, while the sum is 30.

The square root of 41442384 is about 6437.5759412996. The cubic root of 41442384 is about 346.0574820688.

Adding to 41442384 its reverse (48324414), we get a palindrome (89766798).

The spelling of 41442384 in words is "forty-one million, four hundred forty-two thousand, three hundred eighty-four".

Divisors: 1 2 3 4 6 8 12 16 24 48 107 214 321 428 642 856 1284 1712 2568 5136 8069 16138 24207 32276 48414 64552 96828 129104 193656 387312 863383 1726766 2590149 3453532 5180298 6907064 10360596 13814128 20721192 41442384