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4086084772 = 2271173263691
BaseRepresentation
bin1111001110001100…
…1011010010100100
3101112202200121120001
43303203023102210
531332014203042
61513242551044
7203154101410
oct36343132244
911482617501
104086084772
111807540a70
12960508484
13501702553
142aa961d40
1518dacbbb7
hexf38cb4a4

4086084772 has 96 divisors (see below), whose sum is σ = 9084708864. Its totient is φ = 1561939200.

The previous prime is 4086084749. The next prime is 4086084773. The reversal of 4086084772 is 2774806804.

4086084772 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (4086084773) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5912947 + ... + 5913637.

It is an arithmetic number, because the mean of its divisors is an integer number (94632384).

Almost surely, 24086084772 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 4086084772, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4542354432).

4086084772 is an abundant number, since it is smaller than the sum of its proper divisors (4998624092).

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

4086084772 is a wasteful number, since it uses less digits than its factorization.

4086084772 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1049 (or 1047 counting only the distinct ones).

The product of its (nonzero) digits is 602112, while the sum is 46.

The square root of 4086084772 is about 63922.4903457304. The cubic root of 4086084772 is about 1598.7079115355.

The spelling of 4086084772 in words is "four billion, eighty-six million, eighty-four thousand, seven hundred seventy-two".

Divisors: 1 2 4 7 11 14 22 28 44 73 77 146 154 263 292 308 511 526 691 803 1022 1052 1382 1606 1841 2044 2764 2893 3212 3682 4837 5621 5786 7364 7601 9674 11242 11572 15202 19199 19348 20251 22484 30404 38398 40502 50443 53207 76796 81004 100886 106414 134393 181733 201772 211189 212828 268786 353101 363466 422378 537572 554873 706202 726932 844756 1109746 1272131 1412404 1478323 1999063 2219492 2544262 2956646 3884111 3998126 5088524 5913292 7768222 7996252 13266509 13993441 15536444 26533018 27986882 53066036 55973764 92865563 145931599 185731126 291863198 371462252 583726396 1021521193 2043042386 4086084772