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1426430624 = 25198812663
BaseRepresentation
bin101010100000101…
…1001101010100000
310200102002011221212
41111001121222200
510410131234444
6353313205252
750230313603
oct12501315240
93612064855
101426430624
11672201493
12339860828
131996a3bb8
14d763233a
158536619e
hex55059aa0

1426430624 has 48 divisors (see below), whose sum is σ = 2960556480. Its totient is φ = 674657280.

The previous prime is 1426430617. The next prime is 1426430639. The reversal of 1426430624 is 4260346241.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 534317 + ... + 536979.

It is an arithmetic number, because the mean of its divisors is an integer number (61678260).

Almost surely, 21426430624 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 1426430624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1480278240).

1426430624 is an abundant number, since it is smaller than the sum of its proper divisors (1534125856).

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

1426430624 is a wasteful number, since it uses less digits than its factorization.

1426430624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3573 (or 3565 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 32.

The square root of 1426430624 is about 37768.1165005617. The cubic root of 1426430624 is about 1125.6850146440.

Adding to 1426430624 its reverse (4260346241), we get a palindrome (5686776865).

The spelling of 1426430624 in words is "one billion, four hundred twenty-six million, four hundred thirty thousand, six hundred twenty-four".

Divisors: 1 2 4 8 16 19 32 38 76 152 304 608 881 1762 2663 3524 5326 7048 10652 14096 16739 21304 28192 33478 42608 50597 66956 85216 101194 133912 202388 267824 404776 535648 809552 1619104 2346103 4692206 9384412 18768824 37537648 44575957 75075296 89151914 178303828 356607656 713215312 1426430624