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41013144 = 23321493823
BaseRepresentation
bin1001110001110…
…0111110011000
32212011200110100
42130130332120
540444410034
64023015400
71005414564
oct234347630
985150410
1041013144
1121172867
121189a560
13865ca43
1456386a4
153902099
hex271cf98

41013144 has 48 divisors (see below), whose sum is σ = 111852000. Its totient is φ = 13575744.

The previous prime is 41013127. The next prime is 41013157. The reversal of 41013144 is 44131014.

It is a super-3 number, since 3×410131443 (a number of 24 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8817 + ... + 12639.

It is an arithmetic number, because the mean of its divisors is an integer number (2330250).

Almost surely, 241013144 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 41013144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55926000).

41013144 is an abundant number, since it is smaller than the sum of its proper divisors (70838856).

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

41013144 is a wasteful number, since it uses less digits than its factorization.

41013144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3984 (or 3977 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 41013144 is about 6404.1505291490. The cubic root of 41013144 is about 344.8585683675.

Adding to 41013144 its reverse (44131014), we get a palindrome (85144158).

The spelling of 41013144 in words is "forty-one million, thirteen thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 149 298 447 596 894 1192 1341 1788 2682 3576 3823 5364 7646 10728 11469 15292 22938 30584 34407 45876 68814 91752 137628 275256 569627 1139254 1708881 2278508 3417762 4557016 5126643 6835524 10253286 13671048 20506572 41013144