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4083987264 = 26374370667
BaseRepresentation
bin1111001101101100…
…1011001101000000
3101112121202001022120
43303123023031000
531331000043024
61513130004240
7203130214260
oct36333131500
911477661276
104083987264
111806339095
1295b876680
13501149916
142aa5777a0
1518d815479
hexf36cb340

4083987264 has 112 divisors (see below), whose sum is σ = 12636569088. Its totient is φ = 1139701248.

The previous prime is 4083987247. The next prime is 4083987269. The reversal of 4083987264 is 4627893804.

4083987264 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (112).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4083987269) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 22459 + ... + 93125.

Almost surely, 24083987264 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 4083987264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6318284544).

4083987264 is an abundant number, since it is smaller than the sum of its proper divisors (8552581824).

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

4083987264 is a wasteful number, since it uses less digits than its factorization.

4083987264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 70732 (or 70722 counting only the distinct ones).

The product of its (nonzero) digits is 2322432, while the sum is 51.

The square root of 4083987264 is about 63906.0815885311. The cubic root of 4083987264 is about 1598.4343100508.

The spelling of 4083987264 in words is "four billion, eighty-three million, nine hundred eighty-seven thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 43 48 56 64 84 86 96 112 129 168 172 192 224 258 301 336 344 448 516 602 672 688 903 1032 1204 1344 1376 1806 2064 2408 2752 3612 4128 4816 7224 8256 9632 14448 19264 28896 57792 70667 141334 212001 282668 424002 494669 565336 848004 989338 1130672 1484007 1696008 1978676 2261344 2968014 3038681 3392016 3957352 4522688 5936028 6077362 6784032 7914704 9116043 11872056 12154724 13568064 15829408 18232086 21270767 23744112 24309448 31658816 36464172 42541534 47488224 48618896 63812301 72928344 85083068 94976448 97237792 127624602 145856688 170166136 194475584 255249204 291713376 340332272 510498408 583426752 680664544 1020996816 1361329088 2041993632 4083987264