Search a number
-
+
4066392 = 2331173211
BaseRepresentation
bin1111100000110001011000
321122121001010
433200301120
52020111032
6223053520
746364241
oct17406130
97577033
104066392
112328160
1214412a0
13ac4b65
1477bcc8
15554ccc
hex3e0c58

4066392 has 64 divisors (see below), whose sum is σ = 11295360. Its totient is φ = 1209600.

The previous prime is 4066379. The next prime is 4066441. The reversal of 4066392 is 2936604.

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, 19167 + ... + 19377.

It is an arithmetic number, because the mean of its divisors is an integer number (176490).

Almost surely, 24066392 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 4066392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5647680).

4066392 is an abundant number, since it is smaller than the sum of its proper divisors (7228968).

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

4066392 is a wasteful number, since it uses less digits than its factorization.

4066392 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 304 (or 300 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 30.

The square root of 4066392 is about 2016.5296923180. The cubic root of 4066392 is about 159.6135465038.

It can be divided in two parts, 40663 and 92, that added together give a triangular number (40755 = T285).

The spelling of 4066392 in words is "four million, sixty-six thousand, three hundred ninety-two".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 73 88 132 146 211 219 264 292 422 438 584 633 803 844 876 1266 1606 1688 1752 2321 2409 2532 3212 4642 4818 5064 6424 6963 9284 9636 13926 15403 18568 19272 27852 30806 46209 55704 61612 92418 123224 169433 184836 338866 369672 508299 677732 1016598 1355464 2033196 4066392