Search a number
-
+
6831402272 = 251927692
BaseRepresentation
bin1100101110010111…
…01110110100100000
3122122002111012011222
412113023232310200
5102442314333042
63045512354212
7331200650462
oct62713566440
918562435158
106831402272
11299616a702
1213a79a5968
1384b3c4c86
1448b3d0132
1529eb142d2
hex1972eed20

6831402272 has 54 divisors (see below), whose sum is σ = 14212920393. Its totient is φ = 3231719424.

The previous prime is 6831402271. The next prime is 6831402283. The reversal of 6831402272 is 2722041386.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 6749608336 + 81793936 = 82156^2 + 9044^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=58444.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (6831402271) 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, 8883104 + ... + 8883872.

Almost surely, 26831402272 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 6831402272

6831402272 is an abundant number, since it is smaller than the sum of its proper divisors (7381518121).

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

6831402272 is an frugal number, since it uses more digits than its factorization.

6831402272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1586 (or 790 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 35.

The square root of 6831402272 is about 82652.2974393332. The cubic root of 6831402272 is about 1897.4483079557.

The spelling of 6831402272 in words is "six billion, eight hundred thirty-one million, four hundred two thousand, two hundred seventy-two".

Divisors: 1 2 4 8 16 19 32 38 76 152 304 361 608 722 769 1444 1538 2888 3076 5776 6152 11552 12304 14611 24608 29222 58444 116888 233776 277609 467552 555218 591361 1110436 1182722 2220872 2365444 4441744 4730888 8883488 9461776 11235859 18923552 22471718 44943436 89886872 179773744 213481321 359547488 426962642 853925284 1707850568 3415701136 6831402272