Search a number
-
+
3888864 = 25337643
BaseRepresentation
bin1110110101011011100000
321022120112000
432311123200
51443420424
6215204000
745024540
oct16653340
97276460
103888864
112216841
121376600
13a62105
14733320
1551c3c9
hex3b56e0

3888864 has 96 divisors (see below), whose sum is σ = 12983040. Its totient is φ = 1109376.

The previous prime is 3888851. The next prime is 3888887. The reversal of 3888864 is 4688883.

It is a tau number, because it is divible by the number of its divisors (96).

It is a nude number because it is divisible by every one of its digits.

It is a nialpdrome in base 14.

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, 5727 + ... + 6369.

It is an arithmetic number, because the mean of its divisors is an integer number (135240).

Almost surely, 23888864 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 3888864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6491520).

3888864 is an abundant number, since it is smaller than the sum of its proper divisors (9094176).

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

3888864 is a wasteful number, since it uses less digits than its factorization.

3888864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 669 (or 655 counting only the distinct ones).

The product of its digits is 294912, while the sum is 45.

The square root of 3888864 is about 1972.0202838713. The cubic root of 3888864 is about 157.2561305294.

The spelling of 3888864 in words is "three million, eight hundred eighty-eight thousand, eight hundred sixty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 32 36 42 48 54 56 63 72 84 96 108 112 126 144 168 189 216 224 252 288 336 378 432 504 643 672 756 864 1008 1286 1512 1929 2016 2572 3024 3858 4501 5144 5787 6048 7716 9002 10288 11574 13503 15432 17361 18004 20576 23148 27006 30864 34722 36008 40509 46296 54012 61728 69444 72016 81018 92592 108024 121527 138888 144032 162036 185184 216048 243054 277776 324072 432096 486108 555552 648144 972216 1296288 1944432 3888864