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4063782006 = 2322924132303
BaseRepresentation
bin1111001000111000…
…0110010001110110
3101111012201111220200
43302032012101312
531310312011011
61511124541330
7202463401644
oct36216062166
911435644820
104063782006
1117a5998629
12954b51846
134c9bc3c4b
142a79d8194
1518bb73856
hexf2386476

4063782006 has 48 divisors (see below), whose sum is σ = 9146554560. Its totient is φ = 1302416640.

The previous prime is 4063782001. The next prime is 4063782013. The reversal of 4063782006 is 6002873604.

4063782006 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4063782001) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 109651 + ... + 141953.

It is an arithmetic number, because the mean of its divisors is an integer number (190553220).

Almost surely, 24063782006 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4063782006, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4573277280).

4063782006 is an abundant number, since it is smaller than the sum of its proper divisors (5082772554).

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

4063782006 is a wasteful number, since it uses less digits than its factorization.

4063782006 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32581 (or 32578 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 4063782006 is about 63747.8000090984. The cubic root of 4063782006 is about 1595.7939013457.

The spelling of 4063782006 in words is "four billion, sixty-three million, seven hundred eighty-two thousand, six".

Divisors: 1 2 3 6 9 18 29 58 87 174 241 261 482 522 723 1446 2169 4338 6989 13978 20967 32303 41934 62901 64606 96909 125802 193818 290727 581454 936787 1873574 2810361 5620722 7785023 8431083 15570046 16862166 23355069 46710138 70065207 140130414 225765667 451531334 677297001 1354594002 2031891003 4063782006