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4000806 = 233431723
BaseRepresentation
bin1111010000110000100110
321112021002000
433100300212
52011011211
6221430130
746002105
oct17206046
97467060
104000806
112292957
12140b346
13aa1054
1476203c
15540656
hex3d0c26

4000806 has 32 divisors (see below), whose sum is σ = 9102720. Its totient is φ = 1301832.

The previous prime is 4000751. The next prime is 4000813. The reversal of 4000806 is 6080004.

It is a Harshad number since it is a multiple of its sum of digits (18).

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, 1461 + ... + 3183.

It is an arithmetic number, because the mean of its divisors is an integer number (284460).

Almost surely, 24000806 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4000806, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4551360).

4000806 is an abundant number, since it is smaller than the sum of its proper divisors (5101914).

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

4000806 is a wasteful number, since it uses less digits than its factorization.

4000806 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1777 (or 1771 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 4000806 is about 2000.2014898505. The cubic root of 4000806 is about 158.7507665245.

The spelling of 4000806 in words is "four million, eight hundred six", and thus it is an aban number.

Divisors: 1 2 3 6 9 18 27 43 54 86 129 258 387 774 1161 1723 2322 3446 5169 10338 15507 31014 46521 74089 93042 148178 222267 444534 666801 1333602 2000403 4000806