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4068816 = 243293779
BaseRepresentation
bin1111100001010111010000
321122201100220
433201113100
52020200231
6223113040
746404303
oct17412720
97581326
104068816
112329a64
121442780
13ac5cab
1477cb3a
15555896
hex3e15d0

4068816 has 80 divisors (see below), whose sum is σ = 11308800. Its totient is φ = 1257984.

The previous prime is 4068811. The next prime is 4068829. The reversal of 4068816 is 6188604.

4068816 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4068811) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 51465 + ... + 51543.

It is an arithmetic number, because the mean of its divisors is an integer number (141360).

Almost surely, 24068816 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 4068816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5654400).

4068816 is an abundant number, since it is smaller than the sum of its proper divisors (7239984).

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

4068816 is a wasteful number, since it uses less digits than its factorization.

4068816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 156 (or 150 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 33.

The square root of 4068816 is about 2017.1306353333. The cubic root of 4068816 is about 159.6452557261.

It can be divided in two parts, 40688 and 16, that added together give a palindrome (40704).

The spelling of 4068816 in words is "four million, sixty-eight thousand, eight hundred sixteen".

Divisors: 1 2 3 4 6 8 12 16 24 29 37 48 58 74 79 87 111 116 148 158 174 222 232 237 296 316 348 444 464 474 592 632 696 888 948 1073 1264 1392 1776 1896 2146 2291 2923 3219 3792 4292 4582 5846 6438 6873 8584 8769 9164 11692 12876 13746 17168 17538 18328 23384 25752 27492 35076 36656 46768 51504 54984 70152 84767 109968 140304 169534 254301 339068 508602 678136 1017204 1356272 2034408 4068816