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2426049792 = 283559661
BaseRepresentation
bin1001000010011010…
…1001010100000000
320021002001002200000
42100212221110000
514432032043132
61040422400000
7114056040315
oct22046512400
96232032600
102426049792
111035495131
12578590000
132c880992a
141902c0d0c
15e2ebe87c
hex909a9500

2426049792 has 216 divisors, whose sum is σ = 7388078880. Its totient is φ = 793774080.

The previous prime is 2426049779. The next prime is 2426049793. The reversal of 2426049792 is 2979406242.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (216).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2426049793) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3669942 + ... + 3670602.

Almost surely, 22426049792 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 2426049792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3694039440).

2426049792 is an abundant number, since it is smaller than the sum of its proper divisors (4962029088).

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

2426049792 is an frugal number, since it uses more digits than its factorization.

2426049792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 751 (or 725 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The square root of 2426049792 is about 49254.9468784608. The cubic root of 2426049792 is about 1343.6925317063.

The spelling of 2426049792 in words is "two billion, four hundred twenty-six million, forty-nine thousand, seven hundred ninety-two".