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4082459928 = 2331910938191
BaseRepresentation
bin1111001101010101…
…0110010100011000
3101112111212110012120
43303111112110120
531330102204203
61513033141240
7203111223351
oct36325262430
911474773176
104082459928
111805495628
1295b25a820
13500a33681
142aa29ad28
1518d612b53
hexf3556518

4082459928 has 64 divisors (see below), whose sum is σ = 10754457600. Its totient is φ = 1287861120.

The previous prime is 4082459851. The next prime is 4082459933. The reversal of 4082459928 is 8299542804.

4082459928 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (51) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 494313 + ... + 502503.

It is an arithmetic number, because the mean of its divisors is an integer number (168038400).

Almost surely, 24082459928 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4082459928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5377228800).

4082459928 is an abundant number, since it is smaller than the sum of its proper divisors (6671997672).

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

4082459928 is a wasteful number, since it uses less digits than its factorization.

4082459928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9312 (or 9308 counting only the distinct ones).

The product of its (nonzero) digits is 1658880, while the sum is 51.

The square root of 4082459928 is about 63894.1306224602. The cubic root of 4082459928 is about 1598.2350235439.

The spelling of 4082459928 in words is "four billion, eighty-two million, four hundred fifty-nine thousand, nine hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 19 24 38 57 76 114 152 228 456 1093 2186 3279 4372 6558 8191 8744 13116 16382 20767 24573 26232 32764 41534 49146 62301 65528 83068 98292 124602 155629 166136 196584 249204 311258 466887 498408 622516 933774 1245032 1867548 3735096 8952763 17905526 26858289 35811052 53716578 71622104 107433156 170102497 214866312 340204994 510307491 680409988 1020614982 1360819976 2041229964 4082459928