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4080884960 = 255891791601
BaseRepresentation
bin1111001100111101…
…0101110011100000
3101112101220102202102
43303033111303200
531324201304320
61512535305532
7203061643535
oct36317256340
911471812672
104080884960
11180460a2a9
1295a81b2a8
13500601839
142a9daad8c
1518d401175
hexf33d5ce0

4080884960 has 96 divisors (see below), whose sum is σ = 9810007200. Its totient is φ = 1603993600.

The previous prime is 4080884953. The next prime is 4080884971. The reversal of 4080884960 is 694880804.

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, 2548160 + ... + 2549760.

It is an arithmetic number, because the mean of its divisors is an integer number (102187575).

Almost surely, 24080884960 is an apocalyptic number.

4080884960 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 4080884960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4905003600).

4080884960 is an abundant number, since it is smaller than the sum of its proper divisors (5729122240).

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

4080884960 is a wasteful number, since it uses less digits than its factorization.

4080884960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1884 (or 1876 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 47.

The square root of 4080884960 is about 63881.8046081981. The cubic root of 4080884960 is about 1598.0294699617.

The spelling of 4080884960 in words is "four billion, eighty million, eight hundred eighty-four thousand, nine hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 89 160 178 179 356 358 445 712 716 890 895 1424 1432 1601 1780 1790 2848 2864 3202 3560 3580 5728 6404 7120 7160 8005 12808 14240 14320 15931 16010 25616 28640 31862 32020 51232 63724 64040 79655 127448 128080 142489 159310 254896 256160 284978 286579 318620 509792 569956 573158 637240 712445 1139912 1146316 1274480 1424890 1432895 2279824 2292632 2548960 2849780 2865790 4559648 4585264 5699560 5731580 9170528 11399120 11463160 22798240 22926320 25505531 45852640 51011062 102022124 127527655 204044248 255055310 408088496 510110620 816176992 1020221240 2040442480 4080884960