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1426664448 = 21033114691
BaseRepresentation
bin101010100001001…
…0010110000000000
310200102112001201000
41111002102300000
510410211230243
6353322212000
750232306366
oct12502226000
93612461630
101426664448
11672351130
12339954000
13199756461
14d7693636
15853b05d3
hex55092c00

1426664448 has 176 divisors, whose sum is σ = 4610171520. Its totient is φ = 432230400.

The previous prime is 1426664443. The next prime is 1426664471. The reversal of 1426664448 is 8444666241.

It is a tau number, because it is divible by the number of its divisors (176).

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

It is not an unprimeable number, because it can be changed into a prime (1426664443) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 301783 + ... + 306473.

Almost surely, 21426664448 is an apocalyptic number.

1426664448 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1426664448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2305085760).

1426664448 is an abundant number, since it is smaller than the sum of its proper divisors (3183507072).

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

1426664448 is a wasteful number, since it uses less digits than its factorization.

1426664448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4731 (or 4707 counting only the distinct ones).

The product of its digits is 884736, while the sum is 45.

The square root of 1426664448 is about 37771.2118947751. The cubic root of 1426664448 is about 1125.7465196313.

The spelling of 1426664448 in words is "one billion, four hundred twenty-six million, six hundred sixty-four thousand, four hundred forty-eight".