Search a number
-
+
541433035 = 511134571657
BaseRepresentation
bin100000010001011…
…001110011001011
31101201210122111101
4200101121303023
52102101324120
6125420442231
716263050653
oct4021316313
91351718441
10541433035
11258696720
121313a9377
1388230ca0
1451c9d363
15327ee90a
hex20459ccb

541433035 has 32 divisors (see below), whose sum is σ = 765438912. Its totient is φ = 362465280.

The previous prime is 541433033. The next prime is 541433069. The reversal of 541433035 is 530334145.

It is not a de Polignac number, because 541433035 - 21 = 541433033 is a prime.

It is a super-3 number, since 3×5414330353 (a number of 27 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 541432994 and 541433012.

It is not an unprimeable number, because it can be changed into a prime (541433033) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 325927 + ... + 327583.

It is an arithmetic number, because the mean of its divisors is an integer number (23919966).

Almost surely, 2541433035 is an apocalyptic number.

541433035 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

541433035 is a deficient number, since it is larger than the sum of its proper divisors (224005877).

541433035 is a wasteful number, since it uses less digits than its factorization.

541433035 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2143.

The product of its (nonzero) digits is 10800, while the sum is 28.

The square root of 541433035 is about 23268.7136515966. The cubic root of 541433035 is about 815.0449923096.

The spelling of 541433035 in words is "five hundred forty-one million, four hundred thirty-three thousand, thirty-five".

Divisors: 1 5 11 13 55 65 143 457 715 1657 2285 5027 5941 8285 18227 21541 25135 29705 65351 91135 107705 236951 326755 757249 1184755 3786245 8329739 9844237 41648695 49221185 108286607 541433035