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4949834400 = 2533527191723
BaseRepresentation
bin1001001110000100…
…00111101010100000
3110202221222122022000
410213002013222200
540114124200100
62135100044000
7233442620040
oct44702075240
913687878260
104949834400
112110063935
12b61833600
1360b645cc4
1434d563720
151de847900
hex127087aa0

4949834400 has 576 divisors, whose sum is σ = 21548620800. Its totient is φ = 1071221760.

The previous prime is 4949834399. The next prime is 4949834401. The reversal of 4949834400 is 44389494.

4949834400 is a `hidden beast` number, since 494 + 98 + 34 + 40 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (4949834399) and next prime (4949834401).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (4949834401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2871939 + ... + 2873661.

It is an arithmetic number, because the mean of its divisors is an integer number (37410800).

Almost surely, 24949834400 is an apocalyptic number.

4949834400 is a gapful number since it is divisible by the number (40) 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 4949834400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10774310400).

4949834400 is an abundant number, since it is smaller than the sum of its proper divisors (16598786400).

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

4949834400 is a wasteful number, since it uses less digits than its factorization.

4949834400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1778 (or 1759 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 45.

The square root of 4949834400 is about 70355.0595195541. The cubic root of 4949834400 is about 1704.2379155999.

The spelling of 4949834400 in words is "four billion, nine hundred forty-nine million, eight hundred thirty-four thousand, four hundred".