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146439117 = 33111034787
BaseRepresentation
bin10001011101001…
…11101111001101
3101012112212201000
420232213233031
5244442022432
622310410513
73425466126
oct1056475715
9335485630
10146439117
117572a970
1241060a39
1324453186
141563d04d
15ccc957c
hex8ba7bcd

146439117 has 32 divisors (see below), whose sum is σ = 239016960. Its totient is φ = 87870960.

The previous prime is 146439109. The next prime is 146439119. The reversal of 146439117 is 711934641.

146439117 is a `hidden beast` number, since 1 + 4 + 643 + 9 + 1 + 1 + 7 = 666.

It is not a de Polignac number, because 146439117 - 23 = 146439109 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (146439119) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 28198 + ... + 32984.

It is an arithmetic number, because the mean of its divisors is an integer number (7469280).

Almost surely, 2146439117 is an apocalyptic number.

It is an amenable number.

146439117 is a deficient number, since it is larger than the sum of its proper divisors (92577843).

146439117 is a wasteful number, since it uses less digits than its factorization.

146439117 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4910 (or 4904 counting only the distinct ones).

The product of its digits is 18144, while the sum is 36.

The square root of 146439117 is about 12101.2031220040. The cubic root of 146439117 is about 527.0911210474.

The spelling of 146439117 in words is "one hundred forty-six million, four hundred thirty-nine thousand, one hundred seventeen".

Divisors: 1 3 9 11 27 33 99 103 297 309 927 1133 2781 3399 4787 10197 14361 30591 43083 52657 129249 157971 473913 493061 1421739 1479183 4437549 5423671 13312647 16271013 48813039 146439117