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41212144 = 243183089
BaseRepresentation
bin1001110100110…
…1100011110000
32212112210102201
42131031203300
541022242034
64031152544
71010204011
oct235154360
985483381
1041212144
1121299326
1211975754
1386cc4ac
14568b008
153941014
hex274d8f0

41212144 has 20 divisors (see below), whose sum is σ = 82425280. Its totient is φ = 19941120.

The previous prime is 41212139. The next prime is 41212147. The reversal of 41212144 is 44121214.

41212144 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

41212144 is an admirable number.

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 (41212147) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 41049 + ... + 42040.

It is an arithmetic number, because the mean of its divisors is an integer number (4121264).

Almost surely, 241212144 is an apocalyptic number.

It is an amenable number.

41212144 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

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

41212144 is a wasteful number, since it uses less digits than its factorization.

41212144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83128 (or 83122 counting only the distinct ones).

The product of its digits is 256, while the sum is 19.

The square root of 41212144 is about 6419.6685272684. The cubic root of 41212144 is about 345.4154317841.

Adding to 41212144 its reverse (44121214), we get a palindrome (85333358).

The spelling of 41212144 in words is "forty-one million, two hundred twelve thousand, one hundred forty-four".

Divisors: 1 2 4 8 16 31 62 124 248 496 83089 166178 332356 664712 1329424 2575759 5151518 10303036 20606072 41212144