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541241244 = 2233231091999
BaseRepresentation
bin100000010000101…
…010111110011100
31101201102220102000
4200100222332130
52102024204434
6125412402300
716261321545
oct4020527634
91351386360
10541241244
11258575615
12131316390
13881948bb
1451c4d4cc
15327b2b99
hex2042af9c

541241244 has 96 divisors (see below), whose sum is σ = 1478400000. Its totient is φ = 170900928.

The previous prime is 541241177. The next prime is 541241249. The reversal of 541241244 is 442142145.

541241244 is a `hidden beast` number, since 5 + 412 + 4 + 1 + 244 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (541241249) 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 31 ways as a sum of consecutive naturals, for example, 269757 + ... + 271755.

It is an arithmetic number, because the mean of its divisors is an integer number (15400000).

Almost surely, 2541241244 is an apocalyptic number.

541241244 is a gapful number since it is divisible by the number (54) 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 541241244, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (739200000).

541241244 is an abundant number, since it is smaller than the sum of its proper divisors (937158756).

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

541241244 is a wasteful number, since it uses less digits than its factorization.

541241244 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2144 (or 2136 counting only the distinct ones).

The product of its digits is 5120, while the sum is 27.

The square root of 541241244 is about 23264.5920660561. The cubic root of 541241244 is about 814.9487435616.

Adding to 541241244 its reverse (442142145), we get a palindrome (983383389).

Subtracting from 541241244 its reverse (442142145), we obtain a palindrome (99099099).

It can be divided in two parts, 5412 and 41244, that added together give a 6-th power (46656 = 66).

The spelling of 541241244 in words is "five hundred forty-one million, two hundred forty-one thousand, two hundred forty-four".

Divisors: 1 2 3 4 6 9 12 18 23 27 36 46 54 69 92 108 109 138 207 218 276 327 414 436 621 654 828 981 1242 1308 1962 1999 2484 2507 2943 3924 3998 5014 5886 5997 7521 7996 10028 11772 11994 15042 17991 22563 23988 30084 35982 45126 45977 53973 67689 71964 90252 91954 107946 135378 137931 183908 215892 217891 270756 275862 413793 435782 551724 653673 827586 871564 1241379 1307346 1655172 1961019 2482758 2614692 3922038 4965516 5011493 5883057 7844076 10022986 11766114 15034479 20045972 23532228 30068958 45103437 60137916 90206874 135310311 180413748 270620622 541241244