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3668249448 = 233250947909
BaseRepresentation
bin1101101010100101…
…0000101101101000
3100110122110101020200
43122221100231220
530003032440243
61403555152200
7156621414543
oct33251205550
910418411220
103668249448
1116126a4116
128645a5660
13465c87c06
1426b27785a
15167093ad3
hexdaa50b68

3668249448 has 24 divisors (see below), whose sum is σ = 9934842450. Its totient is φ = 1222749792.

The previous prime is 3668249441. The next prime is 3668249471. The reversal of 3668249448 is 8449428663.

3668249448 is a `hidden beast` number, since 36 + 6 + 82 + 494 + 48 = 666.

It can be written as a sum of positive squares in only one way, i.e., 3149229924 + 519019524 = 56118^2 + 22782^2 .

It is a tau number, because it is divible by the number of its divisors (24).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 3668249394 and 3668249403.

It is not an unprimeable number, because it can be changed into a prime (3668249441) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 25473883 + ... + 25474026.

Almost surely, 23668249448 is an apocalyptic number.

It is an amenable number.

3668249448 is an abundant number, since it is smaller than the sum of its proper divisors (6266593002).

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

3668249448 is a wasteful number, since it uses less digits than its factorization.

3668249448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50947921 (or 50947914 counting only the distinct ones).

The product of its digits is 7962624, while the sum is 54.

The square root of 3668249448 is about 60566.0750585672. The cubic root of 3668249448 is about 1542.2435180922.

It can be divided in two parts, 3668 and 249448, that added together give a triangular number (253116 = T711).

The spelling of 3668249448 in words is "three billion, six hundred sixty-eight million, two hundred forty-nine thousand, four hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 50947909 101895818 152843727 203791636 305687454 407583272 458531181 611374908 917062362 1222749816 1834124724 3668249448