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145808541 = 3217952997
BaseRepresentation
bin10001011000011…
…01110010011101
3101011100211201100
420230031302131
5244311333131
622245103313
73420231534
oct1054156235
9334324640
10145808541
117533a12a
12409b7b39
1324292158
141551731b
15cc027e6
hex8b0dc9d

145808541 has 12 divisors (see below), whose sum is σ = 223001532. Its totient is φ = 91487616.

The previous prime is 145808519. The next prime is 145808543.

145808541 is nontrivially palindromic in base 10.

145808541 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 2 ways, for example, as 112975641 + 32832900 = 10629^2 + 5730^2 .

It is not a de Polignac number, because 145808541 - 29 = 145808029 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 145808496 and 145808505.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (145808543) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 476346 + ... + 476651.

It is an arithmetic number, because the mean of its divisors is an integer number (18583461).

Almost surely, 2145808541 is an apocalyptic number.

It is an amenable number.

145808541 is a deficient number, since it is larger than the sum of its proper divisors (77192991).

145808541 is a wasteful number, since it uses less digits than its factorization.

145808541 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 953020 (or 953017 counting only the distinct ones).

The product of its (nonzero) digits is 25600, while the sum is 36.

The square root of 145808541 is about 12075.1207447379. The cubic root of 145808541 is about 526.3334700585. Note that the first 3 decimals are identical.

The spelling of 145808541 in words is "one hundred forty-five million, eight hundred eight thousand, five hundred forty-one".

Divisors: 1 3 9 17 51 153 952997 2858991 8576973 16200949 48602847 145808541