Search a number
-
+
6655296400 = 245240792
BaseRepresentation
bin1100011001010111…
…11100001110010000
3122011211010002100021
412030223330032100
5102112223441100
63020222033224
7323632041334
oct61453741620
918154102307
106655296400
112905817765
121358a18814
13820a8570c
14471c6b7c4
1528e429a1a
hex18cafc390

6655296400 has 45 divisors (see below), whose sum is σ = 15993270481. Its totient is φ = 2661465920.

The previous prime is 6655296377. The next prime is 6655296407. The reversal of 6655296400 is 46925566.

The square root of 6655296400 is 81580.

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., 2395906704 + 4259389696 = 48948^2 + 65264^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (6655296407) 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, 1629561 + ... + 1633639.

Almost surely, 26655296400 is an apocalyptic number.

6655296400 is the 81580-th square number.

It is an amenable number.

6655296400 is an abundant number, since it is smaller than the sum of its proper divisors (9337974081).

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

6655296400 is an frugal number, since it uses more digits than its factorization.

6655296400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8176 (or 4086 counting only the distinct ones).

The product of its (nonzero) digits is 388800, while the sum is 43.

The cubic root of 6655296400 is about 1881.0014658263.

The spelling of 6655296400 in words is "six billion, six hundred fifty-five million, two hundred ninety-six thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 200 400 4079 8158 16316 20395 32632 40790 65264 81580 101975 163160 203950 326320 407900 815800 1631600 16638241 33276482 66552964 83191205 133105928 166382410 266211856 332764820 415956025 665529640 831912050 1331059280 1663824100 3327648200 6655296400