Search a number
-
+
4181088 = 25397449
BaseRepresentation
bin1111111100110001100000
321212102101010
433330301200
52032243323
6225340520
750352522
oct17746140
97772333
104181088
1123a634a
121497740
13b35122
147aba12
15578c93
hex3fcc60

4181088 has 48 divisors (see below), whose sum is σ = 11113200. Its totient is φ = 1376256.

The previous prime is 4181087. The next prime is 4181129. The reversal of 4181088 is 8801814.

It is a tau number, because it is divible by the number of its divisors (48).

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4181081) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9088 + ... + 9536.

It is an arithmetic number, because the mean of its divisors is an integer number (231525).

Almost surely, 24181088 is an apocalyptic number.

4181088 is a gapful number since it is divisible by the number (48) 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 4181088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5556600).

4181088 is an abundant number, since it is smaller than the sum of its proper divisors (6932112).

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

4181088 is a wasteful number, since it uses less digits than its factorization.

4181088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 559 (or 551 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 30.

The square root of 4181088 is about 2044.7708918116. The cubic root of 4181088 is about 161.1003322511.

The spelling of 4181088 in words is "four million, one hundred eighty-one thousand, eighty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 97 194 291 388 449 582 776 898 1164 1347 1552 1796 2328 2694 3104 3592 4656 5388 7184 9312 10776 14368 21552 43104 43553 87106 130659 174212 261318 348424 522636 696848 1045272 1393696 2090544 4181088