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2492126208 = 2103211133161
BaseRepresentation
bin1001010010001010…
…1101010000000000
320102200101010110200
42110202231100000
520100441014313
61051142525200
7115520503035
oct22442552000
96380333420
102492126208
111069816340
12596736800
133094035c0
14198da138c
15e8bc2b73
hex948ad400

2492126208 has 528 divisors, whose sum is σ = 8869765632. Its totient is φ = 663552000.

The previous prime is 2492126159. The next prime is 2492126213. The reversal of 2492126208 is 8026212942.

2492126208 is a `hidden beast` number, since 2 + 4 + 9 + 21 + 2 + 620 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (528).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 40854498 + ... + 40854558.

Almost surely, 22492126208 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 2492126208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4434882816).

2492126208 is an abundant number, since it is smaller than the sum of its proper divisors (6377639424).

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

2492126208 is a wasteful number, since it uses less digits than its factorization.

2492126208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 142 (or 121 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 2492126208 is about 49921.1999855773. The cubic root of 2492126208 is about 1355.7824591633.

The spelling of 2492126208 in words is "two billion, four hundred ninety-two million, one hundred twenty-six thousand, two hundred eight".