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4821949440 = 210345711151
BaseRepresentation
bin1000111110110100…
…10001110000000000
3110110001100102010000
410133122101300000
534333404340230
62114251040000
7230330615430
oct43732216000
913401312100
104821949440
112054956a90
12b26a40000
135bacbb129
1433a5942c0
151d34d5b60
hex11f691c00

4821949440 has 880 divisors, whose sum is σ = 21685492224. Its totient is φ = 995328000.

The previous prime is 4821949421. The next prime is 4821949441. The reversal of 4821949440 is 449491284.

It is a tau number, because it is divible by the number of its divisors (880).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4821949441) 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 79 ways as a sum of consecutive naturals, for example, 31933365 + ... + 31933515.

Almost surely, 24821949440 is an apocalyptic number.

4821949440 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 4821949440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10842746112).

4821949440 is an abundant number, since it is smaller than the sum of its proper divisors (16863542784).

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

4821949440 is a wasteful number, since it uses less digits than its factorization.

4821949440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 206 (or 179 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The square root of 4821949440 is about 69440.2580640366. The cubic root of 4821949440 is about 1689.4326538803.

The spelling of 4821949440 in words is "four billion, eight hundred twenty-one million, nine hundred forty-nine thousand, four hundred forty".