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147904393 = 7213232189
BaseRepresentation
bin10001101000011…
…01011110001001
3101022022022200111
420310031132021
5300330420033
622402034321
73444111100
oct1064153611
9338268614
10147904393
117654083a
12416489a1
13248470c0
1415901037
15ceb87cd
hex8d0d789

147904393 has 12 divisors (see below), whose sum is σ = 185287620. Its totient is φ = 117022752.

The previous prime is 147904387. The next prime is 147904399. The reversal of 147904393 is 393409741.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (147904387) and next prime (147904399).

It can be written as a sum of positive squares in 2 ways, for example, as 17875984 + 130028409 = 4228^2 + 11403^2 .

It is not a de Polignac number, because 147904393 - 29 = 147903881 is a prime.

It is not an unprimeable number, because it can be changed into a prime (147904399) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 115458 + ... + 116731.

It is an arithmetic number, because the mean of its divisors is an integer number (15440635).

Almost surely, 2147904393 is an apocalyptic number.

147904393 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

147904393 is a deficient number, since it is larger than the sum of its proper divisors (37383227).

147904393 is a wasteful number, since it uses less digits than its factorization.

147904393 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 232216 (or 232209 counting only the distinct ones).

The product of its (nonzero) digits is 81648, while the sum is 40.

The square root of 147904393 is about 12161.5950023013. The cubic root of 147904393 is about 528.8433217983.

The spelling of 147904393 in words is "one hundred forty-seven million, nine hundred four thousand, three hundred ninety-three".

Divisors: 1 7 13 49 91 637 232189 1625323 3018457 11377261 21129199 147904393