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393513121 = 41113157541
BaseRepresentation
bin10111011101001…
…000100010100001
31000102110112112001
4113131020202201
51301214404441
6103014204001
712515543401
oct2735104241
91012415461
10393513121
11192145261
12ab953601
13636acb01
143a396801
1524831731
hex177488a1

393513121 has 16 divisors (see below), whose sum is σ = 410025168. Its totient is φ = 377395200.

The previous prime is 393513119. The next prime is 393513137. The reversal of 393513121 is 121315393.

It can be written as a sum of positive squares in 8 ways, for example, as 189337600 + 204175521 = 13760^2 + 14289^2 .

It is a 3-Lehmer number, since φ(393513121) divides (393513121-1)3.

It is a cyclic number.

It is a Carmichael number.

It is not a de Polignac number, because 393513121 - 21 = 393513119 is a prime.

It is a deceptive number, since it divides R393513120.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 393513121.

It is not an unprimeable number, because it can be changed into a prime (393573121) 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, 727111 + ... + 727651.

It is an arithmetic number, because the mean of its divisors is an integer number (25626573).

It is a Poulet number, since it divides 2393513120-1.

Almost surely, 2393513121 is an apocalyptic number.

It is an amenable number.

393513121 is a deficient number, since it is larger than the sum of its proper divisors (16512047).

393513121 is a wasteful number, since it uses less digits than its factorization.

393513121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 852.

The product of its digits is 2430, while the sum is 28.

The square root of 393513121 is about 19837.1651452520. The cubic root of 393513121 is about 732.8015949487.

The spelling of 393513121 in words is "three hundred ninety-three million, five hundred thirteen thousand, one hundred twenty-one".

Divisors: 1 41 113 157 541 4633 6437 17741 22181 61133 84937 727381 2506453 3482417 9597881 393513121