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541099468 = 227132412789
BaseRepresentation
bin100000010000001…
…000010111001100
31101201011200221001
4200100020113030
52102010140333
6125405350044
716260161320
oct4020102714
91351150831
10541099468
11258489048
12131268324
1388145200
1451c13980
1532785b7d
hex204085cc

541099468 has 72 divisors (see below), whose sum is σ = 1200860640. Its totient is φ = 208765440.

The previous prime is 541099459. The next prime is 541099549. The reversal of 541099468 is 864990145.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 192618 + ... + 195406.

It is an arithmetic number, because the mean of its divisors is an integer number (16678620).

Almost surely, 2541099468 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 541099468, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (600430320).

541099468 is an abundant number, since it is smaller than the sum of its proper divisors (659761172).

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

541099468 is a wasteful number, since it uses less digits than its factorization.

541099468 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2867 (or 2852 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 46.

The square root of 541099468 is about 23261.5448326202. The cubic root of 541099468 is about 814.8775798157.

The spelling of 541099468 in words is "five hundred forty-one million, ninety-nine thousand, four hundred sixty-eight".

Divisors: 1 2 4 7 13 14 26 28 41 52 82 91 164 169 182 287 338 364 533 574 676 1066 1148 1183 2132 2366 2789 3731 4732 5578 6929 7462 11156 13858 14924 19523 27716 36257 39046 48503 72514 78092 97006 114349 145028 194012 228698 253799 457396 471341 507598 800443 942682 1015196 1486537 1600886 1885364 2973074 3201772 3299387 5946148 6598774 10405759 13197548 19324981 20811518 38649962 41623036 77299924 135274867 270549734 541099468