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41442144 = 2534110529
BaseRepresentation
bin1001111000010…
…1101101100000
32212222110221020
42132011231200
541102122034
64040125440
71012152402
oct236055540
985873836
1041442144
1121436107
1211a66880
1387800a3
14570ab72
153989249
hex2785b60

41442144 has 48 divisors (see below), whose sum is σ = 111449520. Its totient is φ = 13475840.

The previous prime is 41442091. The next prime is 41442151. The reversal of 41442144 is 44124414.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (24).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1329 + ... + 9200.

It is an arithmetic number, because the mean of its divisors is an integer number (2321865).

Almost surely, 241442144 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 41442144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55724760).

41442144 is an abundant number, since it is smaller than the sum of its proper divisors (70007376).

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

41442144 is a wasteful number, since it uses less digits than its factorization.

41442144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10583 (or 10575 counting only the distinct ones).

The product of its digits is 2048, while the sum is 24.

The square root of 41442144 is about 6437.5573007159. The cubic root of 41442144 is about 346.0568140414.

Adding to 41442144 its reverse (44124414), we get a palindrome (85566558).

The spelling of 41442144 in words is "forty-one million, four hundred forty-two thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 41 48 82 96 123 164 246 328 492 656 984 1312 1968 3936 10529 21058 31587 42116 63174 84232 126348 168464 252696 336928 431689 505392 863378 1010784 1295067 1726756 2590134 3453512 5180268 6907024 10360536 13814048 20721072 41442144