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41030144 = 29127631
BaseRepresentation
bin1001110010000…
…1001000000000
32212012112202222
42130201020000
541000431034
64023230212
71005515261
oct234411000
985175688
1041030144
1121184611
12118a8368
1386676bc
145640968
15390712e
hex2721200

41030144 has 40 divisors (see below), whose sum is σ = 82756608. Its totient is φ = 20321280.

The previous prime is 41030141. The next prime is 41030149. The reversal of 41030144 is 44103014.

It is not an unprimeable number, because it can be changed into a prime (41030141) by changing a digit.

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 3 ways as a sum of consecutive naturals, for example, 64709 + ... + 65339.

Almost surely, 241030144 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 41030144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41378304).

41030144 is an abundant number, since it is smaller than the sum of its proper divisors (41726464).

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

41030144 is an equidigital number, since it uses as much as digits as its factorization.

41030144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 776 (or 760 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 17.

The square root of 41030144 is about 6405.4776558817. The cubic root of 41030144 is about 344.9062098897.

Adding to 41030144 its reverse (44103014), we get a palindrome (85133158).

The spelling of 41030144 in words is "forty-one million, thirty thousand, one hundred forty-four".

Divisors: 1 2 4 8 16 32 64 127 128 254 256 508 512 631 1016 1262 2032 2524 4064 5048 8128 10096 16256 20192 32512 40384 65024 80137 80768 160274 161536 320548 323072 641096 1282192 2564384 5128768 10257536 20515072 41030144