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4066496 = 26729313
BaseRepresentation
bin1111100000110011000000
321122121011222
433200303000
52020111441
6223054212
746364450
oct17406300
97577158
104066496
112328245
121441368
13ac4c15
1477bd60
15554d4b
hex3e0cc0

4066496 has 56 divisors (see below), whose sum is σ = 9570720. Its totient is φ = 1677312.

The previous prime is 4066453. The next prime is 4066507. The reversal of 4066496 is 6946604.

It is a tau number, because it is divible by the number of its divisors (56).

It is a zygodrome in base 2.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 12836 + ... + 13148.

Almost surely, 24066496 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 4066496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4785360).

4066496 is an abundant number, since it is smaller than the sum of its proper divisors (5504224).

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

4066496 is a wasteful number, since it uses less digits than its factorization.

4066496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 361 (or 351 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 35.

The square root of 4066496 is about 2016.5554790285. Note that the first 3 decimals coincide. The cubic root of 4066496 is about 159.6149072241.

It can be divided in two parts, 406 and 6496, that multiplied together give a square (2637376 = 16242).

The spelling of 4066496 in words is "four million, sixty-six thousand, four hundred ninety-six".

Divisors: 1 2 4 7 8 14 16 28 29 32 56 58 64 112 116 203 224 232 313 406 448 464 626 812 928 1252 1624 1856 2191 2504 3248 4382 5008 6496 8764 9077 10016 12992 17528 18154 20032 35056 36308 63539 70112 72616 127078 140224 145232 254156 290464 508312 580928 1016624 2033248 4066496