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4066216 = 2372112341
BaseRepresentation
bin1111100000101110101000
321122120210121
433200232220
52020104331
6223053024
746363600
oct17405650
97576717
104066216
112328010
121441174
13ac4a5b
1477bc00
15554c11
hex3e0ba8

4066216 has 96 divisors (see below), whose sum is σ = 10342080. Its totient is φ = 1478400.

The previous prime is 4066187. The next prime is 4066219. The reversal of 4066216 is 6126604.

It is a happy number.

4066216 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×40662162 = 33068225117312, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (4066219) 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 23 ways as a sum of consecutive naturals, for example, 99156 + ... + 99196.

It is an arithmetic number, because the mean of its divisors is an integer number (107730).

Almost surely, 24066216 is an apocalyptic number.

4066216 is a gapful number since it is divisible by the number (46) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4066216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5171040).

4066216 is an abundant number, since it is smaller than the sum of its proper divisors (6275864).

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

4066216 is a wasteful number, since it uses less digits than its factorization.

4066216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95 (or 84 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 25.

The square root of 4066216 is about 2016.4860525181. The cubic root of 4066216 is about 159.6112436934.

The spelling of 4066216 in words is "four million, sixty-six thousand, two hundred sixteen".

Divisors: 1 2 4 7 8 11 14 22 23 28 41 44 46 49 56 77 82 88 92 98 154 161 164 184 196 253 287 308 322 328 392 451 506 539 574 616 644 902 943 1012 1078 1127 1148 1288 1771 1804 1886 2009 2024 2156 2254 2296 3157 3542 3608 3772 4018 4312 4508 6314 6601 7084 7544 8036 9016 10373 12397 12628 13202 14168 16072 20746 22099 24794 25256 26404 41492 44198 46207 49588 52808 72611 82984 88396 92414 99176 145222 176792 184828 290444 369656 508277 580888 1016554 2033108 4066216