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146240649 = 322921392
BaseRepresentation
bin10001011011101…
…11010010001001
3101012011210110100
420231313102021
5244414200044
622302240013
73424011402
oct1055672211
9335153410
10146240649
1175604845
1240b86009
13243b3a39
14155ca9a9
15cc8a869
hex8b77489

146240649 has 27 divisors (see below), whose sum is σ = 220356903. Its totient is φ = 93454704.

The previous prime is 146240629. The next prime is 146240651. The reversal of 146240649 is 946042641.

The square root of 146240649 is 12093.

It is a perfect power (a square), and thus also a powerful number.

146240649 is a `hidden beast` number, since 1 + 4 + 6 + 2 + 4 + 0 + 649 = 666.

146240649 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 only one way, i.e., 76685049 + 69555600 = 8757^2 + 8340^2 .

It is not a de Polignac number, because 146240649 - 215 = 146207881 is a prime.

It is not an unprimeable number, because it can be changed into a prime (146240629) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1052022 + ... + 1052160.

Almost surely, 2146240649 is an apocalyptic number.

146240649 is the 12093-rd square number.

146240649 is the 6047-th centered octagonal number.

It is an amenable number.

146240649 is a deficient number, since it is larger than the sum of its proper divisors (74116254).

146240649 is an equidigital number, since it uses as much as digits as its factorization.

146240649 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 342 (or 171 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The cubic root of 146240649 is about 526.8528923150.

Multiplying 146240649 by its sum of digits (36), we get a square (5264663364 = 725582).

The spelling of 146240649 in words is "one hundred forty-six million, two hundred forty thousand, six hundred forty-nine".

Divisors: 1 3 9 29 87 139 261 417 841 1251 2523 4031 7569 12093 19321 36279 57963 116899 173889 350697 560309 1052091 1680927 5042781 16248961 48746883 146240649