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2858396112 = 243211131271093
BaseRepresentation
bin1010101001011111…
…1010100111010000
321101012120120022200
42222113322213100
521323222133422
61151345203200
7130555652235
oct25227724720
97335516280
102858396112
111237543340
12679330500
13367265160
141d18a578c
1511ae222ac
hexaa5fa9d0

2858396112 has 240 divisors, whose sum is σ = 9480726528. Its totient is φ = 792529920.

The previous prime is 2858396083. The next prime is 2858396117. The reversal of 2858396112 is 2116938582.

2858396112 is a `hidden beast` number, since 2 + 8 + 583 + 9 + 61 + 1 + 2 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2858396117) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2614638 + ... + 2615730.

Almost surely, 22858396112 is an apocalyptic number.

2858396112 is a gapful number since it is divisible by the number (22) 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 2858396112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4740363264).

2858396112 is an abundant number, since it is smaller than the sum of its proper divisors (6622330416).

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

2858396112 is a wasteful number, since it uses less digits than its factorization.

2858396112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1258 (or 1249 counting only the distinct ones).

The product of its digits is 207360, while the sum is 45.

The square root of 2858396112 is about 53463.9702229455. The cubic root of 2858396112 is about 1419.1908555586.

The spelling of 2858396112 in words is "two billion, eight hundred fifty-eight million, three hundred ninety-six thousand, one hundred twelve".