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2982023424 = 2834314639
BaseRepresentation
bin1011000110111110…
…0001000100000000
321200211012111010000
42301233201010000
522101344222144
61211523040000
7133616531562
oct26157410400
97624174100
102982023424
1112a0302376
126b2810000
13386a5c103
14204087332
15126be2769
hexb1be1100

2982023424 has 180 divisors, whose sum is σ = 9180666880. Its totient is φ = 961735680.

The previous prime is 2982023389. The next prime is 2982023449. The reversal of 2982023424 is 4243202892.

2982023424 is a `hidden beast` number, since 29 + 8 + 202 + 3 + 424 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 640497 + ... + 645135.

Almost surely, 22982023424 is an apocalyptic number.

2982023424 is a gapful number since it is divisible by the number (24) 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 2982023424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4590333440).

2982023424 is an abundant number, since it is smaller than the sum of its proper divisors (6198643456).

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

2982023424 is an equidigital number, since it uses as much as digits as its factorization.

2982023424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4698 (or 4675 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The square root of 2982023424 is about 54607.9062407633. The cubic root of 2982023424 is about 1439.3630516365.

The spelling of 2982023424 in words is "two billion, nine hundred eighty-two million, twenty-three thousand, four hundred twenty-four".