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8309449476 = 223423248481
BaseRepresentation
bin1111011110100100…
…00010001100000100
3210110002200202210000
413233102002030010
5114004204340401
63452312201300
7412626104136
oct75722021404
923402622700
108309449476
113584516419
12173a999230
13a2569c013
1458b81b056
15339774186
hex1ef482304

8309449476 has 90 divisors (see below), whose sum is σ = 22708532462. Its totient is φ = 2649335040.

The previous prime is 8309449471. The next prime is 8309449579. The reversal of 8309449476 is 6749449038.

It is a happy number.

8309449476 is a `hidden beast` number, since 83 + 0 + 9 + 4 + 494 + 76 = 666.

It can be written as a sum of positive squares in only one way, i.e., 8295566400 + 13883076 = 91080^2 + 3726^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (8309449471) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 147156 + ... + 195636.

Almost surely, 28309449476 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8309449476, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11354266231).

8309449476 is an abundant number, since it is smaller than the sum of its proper divisors (14399082986).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

8309449476 is a wasteful number, since it uses less digits than its factorization.

8309449476 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48543 (or 48509 counting only the distinct ones).

The product of its (nonzero) digits is 5225472, while the sum is 54.

The square root of 8309449476 is about 91156.1817761143. The cubic root of 8309449476 is about 2025.4619258971.

The spelling of 8309449476 in words is "eight billion, three hundred nine million, four hundred forty-nine thousand, four hundred seventy-six".

Divisors: 1 2 3 4 6 9 12 18 23 27 36 46 54 69 81 92 108 138 162 207 276 324 414 529 621 828 1058 1242 1587 1863 2116 2484 3174 3726 4761 6348 7452 9522 14283 19044 28566 42849 48481 57132 85698 96962 145443 171396 193924 290886 436329 581772 872658 1115063 1308987 1745316 2230126 2617974 3345189 3926961 4460252 5235948 6690378 7853922 10035567 13380756 15707844 20071134 25646449 30106701 40142268 51292898 60213402 76939347 90320103 102585796 120426804 153878694 180640206 230818041 307757388 361280412 461636082 692454123 923272164 1384908246 2077362369 2769816492 4154724738 8309449476