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45641961 = 36137457
BaseRepresentation
bin1010111000011…
…1000011101001
310011212212000000
42232013003221
543141020321
64310133213
71062643641
oct256070351
9104785000
1045641961
1123844532
1213351209
1395c08a1
1460c1521
154018826
hex2b870e9

45641961 has 28 divisors (see below), whose sum is σ = 69081972. Its totient is φ = 30139776.

The previous prime is 45641929. The next prime is 45641983. The reversal of 45641961 is 16914654.

45641961 is a `hidden beast` number, since 4 + 5 + 641 + 9 + 6 + 1 = 666.

45641961 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 33698025 + 11943936 = 5805^2 + 3456^2 .

It is not a de Polignac number, because 45641961 - 25 = 45641929 is a prime.

It is not an unprimeable number, because it can be changed into a prime (45641261) 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 27 ways as a sum of consecutive naturals, for example, 99645 + ... + 100101.

Almost surely, 245641961 is an apocalyptic number.

It is an amenable number.

45641961 is a deficient number, since it is larger than the sum of its proper divisors (23440011).

45641961 is an equidigital number, since it uses as much as digits as its factorization.

45641961 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 612 (or 597 counting only the distinct ones).

The product of its digits is 25920, while the sum is 36.

The square root of 45641961 is about 6755.8834359394. The cubic root of 45641961 is about 357.3727481638.

The spelling of 45641961 in words is "forty-five million, six hundred forty-one thousand, nine hundred sixty-one".

Divisors: 1 3 9 27 81 137 243 411 457 729 1233 1371 3699 4113 11097 12339 33291 37017 62609 99873 111051 187827 333153 563481 1690443 5071329 15213987 45641961