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4082196480 = 21335139239
BaseRepresentation
bin1111001101010001…
…0110000000000000
3101112111101001211020
43303110112000000
531330020241410
61513023345440
7203106045315
oct36324260000
911474331736
104082196480
1118053256aa
1295b152280
1350097079b
142aa22cd0c
1518d5aea70
hexf3516000

4082196480 has 224 divisors, whose sum is σ = 13211251200. Its totient is φ = 1076232192.

The previous prime is 4082196449. The next prime is 4082196491. The reversal of 4082196480 is 846912804.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17080201 + ... + 17080439.

It is an arithmetic number, because the mean of its divisors is an integer number (58978800).

Almost surely, 24082196480 is an apocalyptic number.

4082196480 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 4082196480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6605625600).

4082196480 is an abundant number, since it is smaller than the sum of its proper divisors (9129054720).

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

4082196480 is a wasteful number, since it uses less digits than its factorization.

4082196480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 412 (or 388 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 42.

The square root of 4082196480 is about 63892.0689913858. The cubic root of 4082196480 is about 1598.2006438737.

The spelling of 4082196480 in words is "four billion, eighty-two million, one hundred ninety-six thousand, four hundred eighty".