Search a number
-
+
449380761228 = 22327193116131877
BaseRepresentation
bin1101000101000010010…
…11100011111010001100
31120221221010011221201100
412202201023203322030
524330312433324403
6542235341143100
744316034305630
oct6424113437214
91527833157640
10449380761228
111636437a7173
127311485aa90
13334b8007699
1417a7057cdc0
15ba51c202a3
hex68a12e3e8c

449380761228 has 288 divisors, whose sum is σ = 1412246384640. Its totient is φ = 117577474560.

The previous prime is 449380761227. The next prime is 449380761229. The reversal of 449380761228 is 822167083944.

449380761228 is a `hidden beast` number, since 4 + 493 + 80 + 76 + 1 + 2 + 2 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (449380761227) and next prime (449380761229).

It is not an unprimeable number, because it can be changed into a prime (449380761227) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 239413426 + ... + 239415302.

It is an arithmetic number, because the mean of its divisors is an integer number (4903633280).

Almost surely, 2449380761228 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 449380761228, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (706123192320).

449380761228 is an abundant number, since it is smaller than the sum of its proper divisors (962865623412).

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

449380761228 is a wasteful number, since it uses less digits than its factorization.

449380761228 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3557 (or 3552 counting only the distinct ones).

The product of its (nonzero) digits is 4644864, while the sum is 54.

The spelling of 449380761228 in words is "four hundred forty-nine billion, three hundred eighty million, seven hundred sixty-one thousand, two hundred twenty-eight".