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15148393 = 134197293
BaseRepresentation
bin111001110010…
…010101101001
31001111121200121
4321302111221
512334222033
61300403241
7242521261
oct71622551
931447617
1015148393
118607237
1250a6521
1331a5060
1420247a1
1514e362d
hexe72569

15148393 has 16 divisors (see below), whose sum is σ = 16941456. Its totient is φ = 13455360.

The previous prime is 15148387. The next prime is 15148409. The reversal of 15148393 is 39384151.

It can be written as a sum of positive squares in 8 ways, for example, as 769129 + 14379264 = 877^2 + 3792^2 .

It is a cyclic number.

It is not a de Polignac number, because 15148393 - 25 = 15148361 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (15148333) 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 15 ways as a sum of consecutive naturals, for example, 51555 + ... + 51847.

It is an arithmetic number, because the mean of its divisors is an integer number (1058841).

Almost surely, 215148393 is an apocalyptic number.

15148393 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

15148393 is a deficient number, since it is larger than the sum of its proper divisors (1793063).

15148393 is a wasteful number, since it uses less digits than its factorization.

15148393 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 444.

The product of its digits is 12960, while the sum is 34.

The square root of 15148393 is about 3892.0936525217. The cubic root of 15148393 is about 247.4318038141.

The spelling of 15148393 in words is "fifteen million, one hundred forty-eight thousand, three hundred ninety-three".

Divisors: 1 13 41 97 293 533 1261 3809 3977 12013 28421 51701 156169 369473 1165261 15148393