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2942483544 = 23337111331439
BaseRepresentation
bin1010111101100010…
…1011110001011000
321121001210122121000
42233120223301120
522011233433134
61203551345000
7132626461140
oct25730536130
97531718530
102942483544
11127aa56490
126a1522160
1337b7c6b30
141dcb13920
151234d1e99
hexaf62bc58

2942483544 has 512 divisors, whose sum is σ = 11354112000. Its totient is φ = 681177600.

The previous prime is 2942483527. The next prime is 2942483549. The reversal of 2942483544 is 4453842492.

2942483544 is a `hidden beast` number, since 2 + 9 + 4 + 24 + 83 + 544 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 2942483544.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2942483549) 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 127 ways as a sum of consecutive naturals, for example, 6702477 + ... + 6702915.

It is an arithmetic number, because the mean of its divisors is an integer number (22176000).

Almost surely, 22942483544 is an apocalyptic number.

2942483544 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 2942483544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5677056000).

2942483544 is an abundant number, since it is smaller than the sum of its proper divisors (8411628456).

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

2942483544 is a wasteful number, since it uses less digits than its factorization.

2942483544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 516 (or 506 counting only the distinct ones).

The product of its digits is 1105920, while the sum is 45.

The square root of 2942483544 is about 54244.6637375512. The cubic root of 2942483544 is about 1432.9730221542.

It can be divided in two parts, 294248 and 3544, that added together give a palindrome (297792).

The spelling of 2942483544 in words is "two billion, nine hundred forty-two million, four hundred eighty-three thousand, five hundred forty-four".