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395136505 = 53712891657
BaseRepresentation
bin10111100011010…
…100110111111001
31000112112000101101
4113203110313321
51302123332010
6103113051401
712535414321
oct2743246771
91015460341
10395136505
111930539a5
12b03b6b61
1363b2a9aa
143a69a281
1524a5273a
hex178d4df9

395136505 has 16 divisors (see below), whose sum is σ = 487650960. Its totient is φ = 307141632.

The previous prime is 395136461. The next prime is 395136563. The reversal of 395136505 is 505631593.

It can be written as a sum of positive squares in 8 ways, for example, as 20830096 + 374306409 = 4564^2 + 19347^2 .

It is a 4-Lehmer number, since φ(395136505) divides (395136505-1)4.

It is a cyclic number.

It is a Carmichael number.

It is not a de Polignac number, because 395136505 - 27 = 395136377 is a prime.

It is a super-2 number, since 2×3951365052 = 312265715167230050, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (37).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 237637 + ... + 239293.

It is an arithmetic number, because the mean of its divisors is an integer number (30478185).

It is a Poulet number, since it divides 2395136504-1.

Almost surely, 2395136505 is an apocalyptic number.

It is an amenable number.

395136505 is a deficient number, since it is larger than the sum of its proper divisors (92514455).

395136505 is a wasteful number, since it uses less digits than its factorization.

395136505 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2988.

The product of its (nonzero) digits is 60750, while the sum is 37.

The square root of 395136505 is about 19878.0407736779. The cubic root of 395136505 is about 733.8079029904.

It can be divided in two parts, 395136 and 505, that added together give a square (395641 = 6292).

The spelling of 395136505 in words is "three hundred ninety-five million, one hundred thirty-six thousand, five hundred five".

Divisors: 1 5 37 185 1289 1657 6445 8285 47693 61309 238465 306545 2135873 10679365 79027301 395136505