Search a number
-
+
89056286929 = 107227892
BaseRepresentation
bin101001011110000101…
…0110001100011010001
322111212111010010011101
41102330022301203101
52424341402140204
6104524545144401
76301616643331
oct1227412614321
9274774103141
1089056286929
113484aa52535
121531492b101
138523461c8c
14444b8430c1
1524b35b7ea4
hex14bc2b18d1

89056286929 has 9 divisors (see below), whose sum is σ = 89928611227. Its totient is φ = 88192352344.

The previous prime is 89056286911. The next prime is 89056286933. The reversal of 89056286929 is 92968265098.

The square root of 89056286929 is 298423.

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., 55968676929 + 33087610000 = 236577^2 + 181900^2 .

It is a de Polignac number, because none of the positive numbers 2k-89056286929 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (89056286959) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 31929867 + ... + 31932655.

Almost surely, 289056286929 is an apocalyptic number.

89056286929 is the 298423-rd square number.

89056286929 is the 149212-nd centered octagonal number.

It is an amenable number.

89056286929 is a deficient number, since it is larger than the sum of its proper divisors (872324298).

89056286929 is an frugal number, since it uses more digits than its factorization.

89056286929 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5792 (or 2896 counting only the distinct ones).

The product of its (nonzero) digits is 33592320, while the sum is 64.

Multiplying 89056286929 by its sum of digits (64), we get a square (5699602363456 = 23873842).

The spelling of 89056286929 in words is "eighty-nine billion, fifty-six million, two hundred eighty-six thousand, nine hundred twenty-nine".

Divisors: 1 107 2789 11449 298423 7778521 31931261 832301747 89056286929