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146639312 = 2429316033
BaseRepresentation
bin10001011110110…
…00100111010000
3101012221001022122
420233120213100
5300014424222
622314553412
73430261601
oct1057304720
9335831278
10146639312
1175857316
1241138868
13244c3331
1415691da8
15cd18a42
hex8bd89d0

146639312 has 20 divisors (see below), whose sum is σ = 293911620. Its totient is φ = 70791168.

The previous prime is 146639293. The next prime is 146639333. The reversal of 146639312 is 213936641.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 81288256 + 65351056 = 9016^2 + 8084^2 .

It is a Smith number, since the sum of its digits (35) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

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 3 ways as a sum of consecutive naturals, for example, 157553 + ... + 158480.

It is an arithmetic number, because the mean of its divisors is an integer number (14695581).

Almost surely, 2146639312 is an apocalyptic number.

It is an amenable number.

146639312 is an abundant number, since it is smaller than the sum of its proper divisors (147272308).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

146639312 is a wasteful number, since it uses less digits than its factorization.

146639312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 316070 (or 316064 counting only the distinct ones).

The product of its digits is 23328, while the sum is 35.

The square root of 146639312 is about 12109.4719950954. The cubic root of 146639312 is about 527.3312047995.

The spelling of 146639312 in words is "one hundred forty-six million, six hundred thirty-nine thousand, three hundred twelve".

Divisors: 1 2 4 8 16 29 58 116 232 464 316033 632066 1264132 2528264 5056528 9164957 18329914 36659828 73319656 146639312