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4066992 = 243261463
BaseRepresentation
bin1111100000111010110000
321122121212100
433200322300
52020120432
6223100400
746366056
oct17407260
97577770
104066992
112328656
121441700
13ac5207
1477c1d6
1555507c
hex3e0eb0

4066992 has 60 divisors (see below), whose sum is σ = 11593504. Its totient is φ = 1330560.

The previous prime is 4066991. The next prime is 4067009. The reversal of 4066992 is 2996604.

4066992 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (4066991) 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 11 ways as a sum of consecutive naturals, for example, 8553 + ... + 9015.

Almost surely, 24066992 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 4066992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5796752).

4066992 is an abundant number, since it is smaller than the sum of its proper divisors (7526512).

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

4066992 is a wasteful number, since it uses less digits than its factorization.

4066992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 538 (or 529 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The square root of 4066992 is about 2016.6784572658. The cubic root of 4066992 is about 159.6213964945.

The spelling of 4066992 in words is "four million, sixty-six thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 61 72 122 144 183 244 366 463 488 549 732 926 976 1098 1389 1464 1852 2196 2778 2928 3704 4167 4392 5556 7408 8334 8784 11112 16668 22224 28243 33336 56486 66672 84729 112972 169458 225944 254187 338916 451888 508374 677832 1016748 1355664 2033496 4066992