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41438144 = 261125351
BaseRepresentation
bin1001111000010…
…0101111000000
32212222021110002
42132010233000
541102010034
64040055132
71012134626
oct236045700
985867402
1041438144
1121433100
1211a644a8
13877b317
145709516
153987e7e
hex2784bc0

41438144 has 42 divisors (see below), whose sum is σ = 90400632. Its totient is φ = 18832000.

The previous prime is 41438143. The next prime is 41438147. The reversal of 41438144 is 44183414.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41438141) 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 5 ways as a sum of consecutive naturals, for example, 5069 + ... + 10419.

It is an arithmetic number, because the mean of its divisors is an integer number (2152396).

Almost surely, 241438144 is an apocalyptic number.

41438144 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 41438144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45200316).

41438144 is an abundant number, since it is smaller than the sum of its proper divisors (48962488).

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

41438144 is a wasteful number, since it uses less digits than its factorization.

41438144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5385 (or 5364 counting only the distinct ones).

The product of its digits is 6144, while the sum is 29.

The square root of 41438144 is about 6437.2466163726. The cubic root of 41438144 is about 346.0456798700.

The spelling of 41438144 in words is "forty-one million, four hundred thirty-eight thousand, one hundred forty-four".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 121 176 242 352 484 704 968 1936 3872 5351 7744 10702 21404 42808 58861 85616 117722 171232 235444 342464 470888 647471 941776 1294942 1883552 2589884 3767104 5179768 10359536 20719072 41438144