Search a number
-
+
541054917 = 33133314657
BaseRepresentation
bin100000001111111…
…101011111000101
31101201002102211000
4200033331133011
52102002224132
6125404403513
716256614404
oct4017753705
91351072730
10541054917
11258458627
12131246599
138812ab50
1451c0163b
153277787c
hex203fd7c5

541054917 has 32 divisors (see below), whose sum is σ = 866015360. Its totient is φ = 331879680.

The previous prime is 541054897. The next prime is 541054981. The reversal of 541054917 is 719450145.

It is not a de Polignac number, because 541054917 - 210 = 541053893 is a prime.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (541054117) 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, 113853 + ... + 118509.

It is an arithmetic number, because the mean of its divisors is an integer number (27062980).

Almost surely, 2541054917 is an apocalyptic number.

It is an amenable number.

541054917 is a deficient number, since it is larger than the sum of its proper divisors (324960443).

541054917 is a wasteful number, since it uses less digits than its factorization.

541054917 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5010 (or 5004 counting only the distinct ones).

The product of its (nonzero) digits is 25200, while the sum is 36.

The square root of 541054917 is about 23260.5872023902. The cubic root of 541054917 is about 814.8552151000.

The spelling of 541054917 in words is "five hundred forty-one million, fifty-four thousand, nine hundred seventeen".

Divisors: 1 3 9 13 27 39 117 331 351 993 2979 4303 4657 8937 12909 13971 38727 41913 60541 116181 125739 181623 544869 1541467 1634607 4624401 13873203 20039071 41619609 60117213 180351639 541054917