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395150093 = 13257118273
BaseRepresentation
bin10111100011011…
…000001100001101
31000112112201000122
4113203120030031
51302124300333
6103113234325
712535502042
oct2743301415
91015481018
10395150093
11193063128
12b04029a5
1363b33c30
143a6a11c9
1524a56798
hex178d830d

395150093 has 8 divisors (see below), whose sum is σ = 427205688. Its totient is φ = 363331584.

The previous prime is 395150089. The next prime is 395150099. The reversal of 395150093 is 390051593.

It can be written as a sum of positive squares in 4 ways, for example, as 77668969 + 317481124 = 8813^2 + 17818^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 395150093 - 22 = 395150089 is a prime.

It is a super-2 number, since 2×3951500932 = 312287191995817298, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (395150099) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 55796 + ... + 62477.

It is an arithmetic number, because the mean of its divisors is an integer number (53400711).

Almost surely, 2395150093 is an apocalyptic number.

It is an amenable number.

395150093 is a deficient number, since it is larger than the sum of its proper divisors (32055595).

395150093 is a wasteful number, since it uses less digits than its factorization.

395150093 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 118543.

The product of its (nonzero) digits is 18225, while the sum is 35.

The square root of 395150093 is about 19878.3825549263. The cubic root of 395150093 is about 733.8163143178.

It can be divided in two parts, 3951500 and 93, that added together give a palindrome (3951593).

The spelling of 395150093 in words is "three hundred ninety-five million, one hundred fifty thousand, ninety-three".

Divisors: 1 13 257 3341 118273 1537549 30396161 395150093