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146252641 is a prime number
BaseRepresentation
bin10001011011110…
…10001101100001
3101012012101220111
420231322031201
5244420041031
622302411321
73424061353
oct1055721541
9335171814
10146252641
1175612857
1240b90b41
13243b9332
14155d10d3
15cc8e1b1
hex8b7a361

146252641 has 2 divisors, whose sum is σ = 146252642. Its totient is φ = 146252640.

The previous prime is 146252627. The next prime is 146252647.

It is a happy number.

146252641 is nontrivially palindromic in base 10.

146252641 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 117939600 + 28313041 = 10860^2 + 5321^2 .

It is a palprime.

It is a cyclic number.

It is not a de Polignac number, because 146252641 - 25 = 146252609 is a prime.

It is not a weakly prime, because it can be changed into another prime (146252647) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 73126320 + 73126321.

It is an arithmetic number, because the mean of its divisors is an integer number (73126321).

Almost surely, 2146252641 is an apocalyptic number.

It is an amenable number.

146252641 is a deficient number, since it is larger than the sum of its proper divisors (1).

146252641 is an equidigital number, since it uses as much as digits as its factorization.

146252641 is an evil number, because the sum of its binary digits is even.

The product of its digits is 11520, while the sum is 31.

The square root of 146252641 is about 12093.4958138662. The cubic root of 146252641 is about 526.8672928875.

The spelling of 146252641 in words is "one hundred forty-six million, two hundred fifty-two thousand, six hundred forty-one".