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541979145 = 32537325513
BaseRepresentation
bin100000010011011…
…111001000001001
31101202211101121200
4200103133020021
52102221313040
6125440254413
716300514061
oct4023371011
91352741550
10541979145
11258a29a54
12131611409
1388392726
1451da23a1
15328ab630
hex204df209

541979145 has 24 divisors (see below), whose sum is σ = 964823496. Its totient is φ = 281242368.

The previous prime is 541979143. The next prime is 541979149.

541979145 is a `hidden beast` number, since 541 + 97 + 9 + 14 + 5 = 666.

541979145 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 4 ways, for example, as 138933369 + 403045776 = 11787^2 + 20076^2 .

It is not a de Polignac number, because 541979145 - 21 = 541979143 is a prime.

It is a super-2 number, since 2×5419791452 = 587482787229862050, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 541979145.

It is not an unprimeable number, because it can be changed into a prime (541979143) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 161092 + ... + 164421.

It is an arithmetic number, because the mean of its divisors is an integer number (40200979).

Almost surely, 2541979145 is an apocalyptic number.

It is an amenable number.

541979145 is a deficient number, since it is larger than the sum of its proper divisors (422844351).

541979145 is a wasteful number, since it uses less digits than its factorization.

541979145 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 325561 (or 325558 counting only the distinct ones).

The product of its digits is 226800, while the sum is 45.

The square root of 541979145 is about 23280.4455498601. The cubic root of 541979145 is about 815.3189287130.

The spelling of 541979145 in words is "five hundred forty-one million, nine hundred seventy-nine thousand, one hundred forty-five".

Divisors: 1 3 5 9 15 37 45 111 185 333 555 1665 325513 976539 1627565 2929617 4882695 12043981 14648085 36131943 60219905 108395829 180659715 541979145