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145585541 = 5310127197
BaseRepresentation
bin10001010110101…
…11010110000101
3101010221111211002
420223113112011
5244232214131
622240223045
73415312433
oct1053272605
9333844732
10145585541
11751a7632
124090aa85
13242147ba
1415499d53
15cbab6cb
hex8ad7585

145585541 has 8 divisors (see below), whose sum is σ = 149806584. Its totient is φ = 141419200.

The previous prime is 145585537. The next prime is 145585553.

145585541 is nontrivially palindromic in base 10.

145585541 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 78836641 + 66748900 = 8879^2 + 8170^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 145585541 - 22 = 145585537 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 145585495 and 145585504.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (145585441) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8246 + ... + 18951.

It is an arithmetic number, because the mean of its divisors is an integer number (18725823).

Almost surely, 2145585541 is an apocalyptic number.

It is an amenable number.

145585541 is a deficient number, since it is larger than the sum of its proper divisors (4221043).

145585541 is a wasteful number, since it uses less digits than its factorization.

145585541 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27351.

The product of its digits is 80000, while the sum is 38.

The square root of 145585541 is about 12065.8833493450. The cubic root of 145585541 is about 526.0650078444.

Subtracting from 145585541 its product of digits (80000), we obtain a palindrome (145505541).

The spelling of 145585541 in words is "one hundred forty-five million, five hundred eighty-five thousand, five hundred forty-one".

Divisors: 1 53 101 5353 27197 1441441 2746897 145585541