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541010484 = 22327193313
BaseRepresentation
bin100000001111110…
…010101000110100
31101201000011212100
4200033302220310
52101444313414
6125403422100
716256341020
oct4017625064
91351004770
10541010484
11258428203
12131224930
1388113861
1451bcd380
1532769609
hex203f2a34

541010484 has 144 divisors (see below), whose sum is σ = 1655006080. Its totient is φ = 145971072.

The previous prime is 541010479. The next prime is 541010497. The reversal of 541010484 is 484010145.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 1728312 + ... + 1728624.

Almost surely, 2541010484 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 541010484, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (827503040).

541010484 is an abundant number, since it is smaller than the sum of its proper divisors (1113995596).

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

541010484 is a wasteful number, since it uses less digits than its factorization.

541010484 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 387 (or 344 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 27.

The square root of 541010484 is about 23259.6320693170. The cubic root of 541010484 is about 814.8329083976.

The spelling of 541010484 in words is "five hundred forty-one million, ten thousand, four hundred eighty-four".

Divisors: 1 2 3 4 6 7 9 12 14 18 19 21 28 36 38 42 57 63 76 84 114 126 133 171 228 252 266 313 342 361 399 532 626 684 722 798 939 1083 1197 1252 1444 1596 1878 2166 2191 2394 2527 2817 3249 3756 4332 4382 4788 5054 5634 5947 6498 6573 6859 7581 8764 10108 11268 11894 12996 13146 13718 15162 17841 19719 20577 22743 23788 26292 27436 30324 35682 39438 41154 41629 45486 48013 53523 61731 71364 78876 82308 83258 90972 96026 107046 112993 123462 124887 144039 166516 192052 214092 225986 246924 249774 288078 338979 374661 432117 451972 499548 576156 677958 749322 790951 864234 1016937 1355916 1498644 1581902 1728468 2033874 2146867 2372853 3163804 4067748 4293734 4745706 6440601 7118559 8587468 9491412 12881202 14237118 15028069 19321803 25762404 28474236 30056138 38643606 45084207 60112276 77287212 90168414 135252621 180336828 270505242 541010484