Search a number
-
+
395317760049 = 322095812
BaseRepresentation
bin1011100000010101100…
…01100101000000110001
31101210101101002221021100
411300022301211000301
522434102321310144
6501334555315013
740363225342452
oct5601261450061
91353341087240
10395317760049
1114272062a203
126474714ba69
132b380588264
14151c23b9129
15a43a80d269
hex5c0ac65031

395317760049 has 9 divisors (see below), whose sum is σ = 571017266859. Its totient is φ = 263543915880.

The previous prime is 395317760039. The next prime is 395317760059. The reversal of 395317760049 is 940067713593.

It is a happy number.

The square root of 395317760049 is 628743.

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

395317760049 is a `hidden beast` number, since 3 + 9 + 531 + 7 + 7 + 60 + 0 + 49 = 666.

It is an interprime number because it is at equal distance from previous prime (395317760039) and next prime (395317760059).

It can be written as a sum of positive squares in only one way, i.e., 30622550049 + 364695210000 = 174993^2 + 603900^2 .

It is a tau number, because it is divible by the number of its divisors (9).

It is a de Polignac number, because none of the positive numbers 2k-395317760049 is a prime.

It is a super-2 number, since 2×3953177600492 (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 395317759977 and 395317760004.

It is not an unprimeable number, because it can be changed into a prime (395317760009) 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, 1781439 + ... + 1991019.

Almost surely, 2395317760049 is an apocalyptic number.

395317760049 is the 628743-rd square number.

395317760049 is the 314372-nd centered octagonal number.

It is an amenable number.

395317760049 is a deficient number, since it is larger than the sum of its proper divisors (175699506810).

395317760049 is an frugal number, since it uses more digits than its factorization.

395317760049 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 419168 (or 209584 counting only the distinct ones).

The product of its (nonzero) digits is 4286520, while the sum is 54.

The spelling of 395317760049 in words is "three hundred ninety-five billion, three hundred seventeen million, seven hundred sixty thousand, forty-nine".

Divisors: 1 3 9 209581 628743 1886229 43924195561 131772586683 395317760049