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396296689441 = 229227492
BaseRepresentation
bin1011100010001010001…
…11111001011100100001
31101212220121010200221111
411301011013321130201
522443103423030231
6502020045223321
740426413165142
oct5610507713441
91355817120844
10396296689441
11143083171364
126497ab61b41
132b4a8328913
14152763ddac9
15a49672b4b1
hex5c451f9721

396296689441 has 9 divisors (see below), whose sum is σ = 398179644921. Its totient is φ = 394422605424.

The previous prime is 396296689391. The next prime is 396296689471. The reversal of 396296689441 is 144986692693.

The square root of 396296689441 is 629521.

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

It can be written as a sum of positive squares in 4 ways, for example, as 3017195041 + 393279494400 = 54929^2 + 627120^2 .

It is not a de Polignac number, because 396296689441 - 235 = 361936951073 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (396296689471) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 144158935 + ... + 144161683.

It is an arithmetic number, because the mean of its divisors is an integer number (44242182769).

Almost surely, 2396296689441 is an apocalyptic number.

396296689441 is the 629521-st square number.

396296689441 is the 314761-st centered octagonal number.

It is an amenable number.

396296689441 is a deficient number, since it is larger than the sum of its proper divisors (1882955480).

396296689441 is an frugal number, since it uses more digits than its factorization.

396296689441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5956 (or 2978 counting only the distinct ones).

The product of its digits is 120932352, while the sum is 67.

The spelling of 396296689441 in words is "three hundred ninety-six billion, two hundred ninety-six million, six hundred eighty-nine thousand, four hundred forty-one".

Divisors: 1 229 2749 52441 629521 7557001 144160309 1730553229 396296689441