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1426190976 = 2734743457
BaseRepresentation
bin101010100000001…
…1111001010000000
310200101122000020000
41111000133022000
510410101102401
6353304120000
750225265120
oct12500371200
93611560200
101426190976
11672058431
12339766000
1319961bab2
14d75acc80
158531a186
hex5501f280

1426190976 has 320 divisors, whose sum is σ = 4974319680. Its totient is φ = 397135872.

The previous prime is 1426190873. The next prime is 1426190981. The reversal of 1426190976 is 6790916241.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 3120540 + ... + 3120996.

It is an arithmetic number, because the mean of its divisors is an integer number (15544749).

Almost surely, 21426190976 is an apocalyptic number.

1426190976 is a gapful number since it is divisible by the number (16) 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 1426190976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2487159840).

1426190976 is an abundant number, since it is smaller than the sum of its proper divisors (3548128704).

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

1426190976 is an equidigital number, since it uses as much as digits as its factorization.

1426190976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 533 (or 512 counting only the distinct ones).

The product of its (nonzero) digits is 163296, while the sum is 45.

The square root of 1426190976 is about 37764.9437441657. The cubic root of 1426190976 is about 1125.6219707388.

The spelling of 1426190976 in words is "one billion, four hundred twenty-six million, one hundred ninety thousand, nine hundred seventy-six".