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146828641 = 1182112421
BaseRepresentation
bin10001100000001…
…10110101100001
3101020021200000211
420300012311201
5300042004031
622323014121
73432010561
oct1060066541
9336250024
10146828641
1175976593
124120a341
132455b56b
1415700da1
15cd54bb1
hex8c06d61

146828641 has 4 divisors (see below), whose sum is σ = 146852884. Its totient is φ = 146804400.

The previous prime is 146828629. The next prime is 146828681.

146828641 is nontrivially palindromic in base 10.

It is a semiprime because it is the product of two primes, and also a brilliant number, because the two primes have the same length.

It can be written as a sum of positive squares in 2 ways, for example, as 87984400 + 58844241 = 9380^2 + 7671^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-146828641 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 146828594 and 146828603.

It is not an unprimeable number, because it can be changed into a prime (146828681) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 5611 + ... + 18031.

It is an arithmetic number, because the mean of its divisors is an integer number (36713221).

Almost surely, 2146828641 is an apocalyptic number.

It is an amenable number.

146828641 is a deficient number, since it is larger than the sum of its proper divisors (24243).

146828641 is a wasteful number, since it uses less digits than its factorization.

146828641 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24242.

The product of its digits is 73728, while the sum is 40.

The square root of 146828641 is about 12117.2868662915. The cubic root of 146828641 is about 527.5580565467.

The spelling of 146828641 in words is "one hundred forty-six million, eight hundred twenty-eight thousand, six hundred forty-one".

Divisors: 1 11821 12421 146828641