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4082245440 = 263571383563
BaseRepresentation
bin1111001101010010…
…0001111101000000
3101112111110112222120
43303110201331000
531330023323230
61513024404240
7203106341130
oct36324417500
911474415876
104082245440
111805359469
1295b176680
13500989b60
142aa242ac0
1518d5be310
hexf3521f40

4082245440 has 448 divisors, whose sum is σ = 16173029376. Its totient is φ = 849420288.

The previous prime is 4082245439. The next prime is 4082245471. The reversal of 4082245440 is 445422804.

It is a tau number, because it is divible by the number of its divisors (448).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7250599 + ... + 7251161.

It is an arithmetic number, because the mean of its divisors is an integer number (36100512).

Almost surely, 24082245440 is an apocalyptic number.

4082245440 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 4082245440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8086514688).

4082245440 is an abundant number, since it is smaller than the sum of its proper divisors (12090783936).

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

4082245440 is a wasteful number, since it uses less digits than its factorization.

4082245440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 686 (or 676 counting only the distinct ones).

The product of its (nonzero) digits is 40960, while the sum is 33.

The square root of 4082245440 is about 63892.4521363831. The cubic root of 4082245440 is about 1598.2070332110.

The spelling of 4082245440 in words is "four billion, eighty-two million, two hundred forty-five thousand, four hundred forty".