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541906398 = 2321118115121
BaseRepresentation
bin100000010011001…
…101010111011110
31101202200200211100
4200103031113132
52102212001043
6125434533530
716300062015
oct4023152736
91352620740
10541906398
1125898a330
121315972a6
1388368597
1451d83a7c
1532894cd3
hex204cd5de

541906398 has 48 divisors (see below), whose sum is σ = 1288031472. Its totient is φ = 163296000.

The previous prime is 541906367. The next prime is 541906439. The reversal of 541906398 is 893609145.

It is a happy number.

541906398 is a `hidden beast` number, since 5 + 4 + 1 + 9 + 0 + 639 + 8 = 666.

541906398 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent 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, 28278 + ... + 43398.

It is an arithmetic number, because the mean of its divisors is an integer number (26833989).

Almost surely, 2541906398 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 541906398, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (644015736).

541906398 is an abundant number, since it is smaller than the sum of its proper divisors (746125074).

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

541906398 is a wasteful number, since it uses less digits than its factorization.

541906398 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15321 (or 15318 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 45.

The square root of 541906398 is about 23278.8830917637. The cubic root of 541906398 is about 815.2824484286.

The spelling of 541906398 in words is "five hundred forty-one million, nine hundred six thousand, three hundred ninety-eight".

Divisors: 1 2 3 6 9 11 18 22 33 66 99 181 198 362 543 1086 1629 1991 3258 3982 5973 11946 15121 17919 30242 35838 45363 90726 136089 166331 272178 332662 498993 997986 1496979 2736901 2993958 5473802 8210703 16421406 24632109 30105911 49264218 60211822 90317733 180635466 270953199 541906398