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541034991 = 3372998711
BaseRepresentation
bin100000001111111…
…000100111101111
31101201001102111000
4200033320213233
52102001104431
6125404131343
716256502330
oct4017704757
91351042430
10541034991
11258444662
12131236b53
1388121a63
1451bd8287
15327719e6
hex203f89ef

541034991 has 32 divisors (see below), whose sum is σ = 947635200. Its totient is φ = 298499040.

The previous prime is 541034959. The next prime is 541035037. The reversal of 541034991 is 199430145.

It is a happy number.

It is not a de Polignac number, because 541034991 - 25 = 541034959 is a prime.

It is a super-2 number, since 2×5410349912 = 585437722972740162, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (541034941) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 43875 + ... + 54836.

It is an arithmetic number, because the mean of its divisors is an integer number (29613600).

Almost surely, 2541034991 is an apocalyptic number.

541034991 is a deficient number, since it is larger than the sum of its proper divisors (406600209).

541034991 is a wasteful number, since it uses less digits than its factorization.

541034991 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98756 (or 98750 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 36.

The square root of 541034991 is about 23260.1588773594. The cubic root of 541034991 is about 814.8452117997.

It can be divided in two parts, 5410 and 34991, that added together give a square (40401 = 2012).

The spelling of 541034991 in words is "five hundred forty-one million, thirty-four thousand, nine hundred ninety-one".

Divisors: 1 3 7 9 21 27 29 63 87 189 203 261 609 783 1827 5481 98711 296133 690977 888399 2072931 2665197 2862619 6218793 8587857 18656379 20038333 25763571 60114999 77290713 180344997 541034991