Search a number
-
+
395333689 = 5923372
BaseRepresentation
bin10111100100000…
…101000000111001
31000112220000212111
4113210011000321
51302201134224
6103121212321
712540165232
oct2744050071
91015800774
10395333689
11193179063
12b04910a1
1363b9967a
143a70c089
1524a90d94
hex17905039

395333689 has 9 divisors (see below), whose sum is σ = 403344687. Its totient is φ = 387479904.

The previous prime is 395333681. The next prime is 395333699. The reversal of 395333689 is 986333593.

The square root of 395333689 is 19883.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 106605625 + 288728064 = 10325^2 + 16992^2 .

It is not a de Polignac number, because 395333689 - 23 = 395333681 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (395333681) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1172929 + ... + 1173265.

Almost surely, 2395333689 is an apocalyptic number.

395333689 is the 19883-rd square number.

395333689 is the 9942-nd centered octagonal number.

It is an amenable number.

395333689 is a deficient number, since it is larger than the sum of its proper divisors (8010998).

395333689 is an frugal number, since it uses more digits than its factorization.

395333689 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 792 (or 396 counting only the distinct ones).

The product of its digits is 1574640, while the sum is 49.

The cubic root of 395333689 is about 733.9299461438.

Multiplying 395333689 by its sum of digits (49), we get a square (19371350761 = 1391812).

It can be divided in two parts, 395 and 333689, that added together give a square (334084 = 5782).

The spelling of 395333689 in words is "three hundred ninety-five million, three hundred thirty-three thousand, six hundred eighty-nine".

Divisors: 1 59 337 3481 19883 113569 1173097 6700571 395333689