Search a number
-
+
8313245329 = 73212492
BaseRepresentation
bin1111011111000001…
…00000111010010001
3210110100211121201011
413233200200322101
5114011142322304
63452525410521
7413003263564
oct75740407221
923410747634
108313245329
113586679294
121740109a41
13a263ca99c
1458c1284db
15339c73c04
hex1ef820e91

8313245329 has 9 divisors (see below), whose sum is σ = 8435439153. Its totient is φ = 8192800512.

The previous prime is 8313245279. The next prime is 8313245377. The reversal of 8313245329 is 9235423138.

The square root of 8313245329 is 91177.

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 4558225 + 8308687104 = 2135^2 + 91152^2 .

It is a de Polignac number, because none of the positive numbers 2k-8313245329 is a prime.

It is a super-2 number, since 2×83132453292 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 8313245291 and 8313245300.

It is not an unprimeable number, because it can be changed into a prime (8313246329) 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, 6655297 + ... + 6656545.

It is an arithmetic number, because the mean of its divisors is an integer number (937271017).

Almost surely, 28313245329 is an apocalyptic number.

8313245329 is the 91177-th square number.

8313245329 is the 45589-th centered octagonal number.

It is an amenable number.

8313245329 is a deficient number, since it is larger than the sum of its proper divisors (122193824).

8313245329 is an frugal number, since it uses more digits than its factorization.

8313245329 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2644 (or 1322 counting only the distinct ones).

The product of its digits is 155520, while the sum is 40.

The cubic root of 8313245329 is about 2025.7702971210.

The spelling of 8313245329 in words is "eight billion, three hundred thirteen million, two hundred forty-five thousand, three hundred twenty-nine".

Divisors: 1 73 1249 5329 91177 1560001 6655921 113880073 8313245329