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1426488960 = 27351367853
BaseRepresentation
bin101010100000110…
…0111111010000000
310200102012010222110
41111001213322000
510410140121320
6353314335320
750230645641
oct12501477200
93612163873
101426488960
116722412a6
1233988a540
131996c4610
14d76496c8
15853785e0
hex55067e80

1426488960 has 256 divisors, whose sum is σ = 4975608960. Its totient is φ = 345489408.

The previous prime is 1426488949. The next prime is 1426488971. The reversal of 1426488960 is 698846241.

It is an interprime number because it is at equal distance from previous prime (1426488949) and next prime (1426488971).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1671894 + ... + 1672746.

Almost surely, 21426488960 is an apocalyptic number.

1426488960 is a gapful number since it is divisible by the number (10) 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 1426488960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2487804480).

1426488960 is an abundant number, since it is smaller than the sum of its proper divisors (3549120000).

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

1426488960 is a wasteful number, since it uses less digits than its factorization.

1426488960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 955 (or 943 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 48.

The square root of 1426488960 is about 37768.8887842891. Note that the first 3 decimals coincide. The cubic root of 1426488960 is about 1125.7003599553.

The spelling of 1426488960 in words is "one billion, four hundred twenty-six million, four hundred eighty-eight thousand, nine hundred sixty".