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4266816 = 26371313
BaseRepresentation
bin10000010001101101000000
322000202222020
4100101231000
52043014231
6231241440
751160461
oct20215500
98022866
104266816
1124547a4
121519280
13b65158
147d0d68
15594396
hex411b40

4266816 has 56 divisors (see below), whose sum is σ = 11484864. Its totient is φ = 1397760.

The previous prime is 4266797. The next prime is 4266817. The reversal of 4266816 is 6186624.

It is a happy number.

4266816 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4266817) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 13476 + ... + 13788.

Almost surely, 24266816 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 4266816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5742432).

4266816 is an abundant number, since it is smaller than the sum of its proper divisors (7218048).

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

4266816 is a wasteful number, since it uses less digits than its factorization.

4266816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 399 (or 389 counting only the distinct ones).

The product of its digits is 13824, while the sum is 33.

The square root of 4266816 is about 2065.6272655056. The cubic root of 4266816 is about 162.1939454338.

It can be divided in two parts, 426 and 6816, that multiplied together give a square (2903616 = 17042).

The spelling of 4266816 in words is "four million, two hundred sixty-six thousand, eight hundred sixteen".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 71 96 142 192 213 284 313 426 568 626 852 939 1136 1252 1704 1878 2272 2504 3408 3756 4544 5008 6816 7512 10016 13632 15024 20032 22223 30048 44446 60096 66669 88892 133338 177784 266676 355568 533352 711136 1066704 1422272 2133408 4266816