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3861216 = 253341109
BaseRepresentation
bin1110101110101011100000
321021011121000
432232223200
51442024331
6214432000
744551122
oct16565340
97234530
103861216
1121a7a97
121362600
13a52658
14727212
155140e6
hex3aeae0

3861216 has 96 divisors (see below), whose sum is σ = 11642400. Its totient is φ = 1244160.

The previous prime is 3861211. The next prime is 3861223. The reversal of 3861216 is 6121683.

3861216 is a `hidden beast` number, since 38 + 612 + 16 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (27).

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

It is a zygodrome in base 7.

It is a self number, because there is not a number n which added to its sum of digits gives 3861216.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3861211) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 35370 + ... + 35478.

It is an arithmetic number, because the mean of its divisors is an integer number (121275).

Almost surely, 23861216 is an apocalyptic number.

3861216 is a gapful number since it is divisible by the number (36) 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 3861216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5821200).

3861216 is an abundant number, since it is smaller than the sum of its proper divisors (7781184).

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

3861216 is a wasteful number, since it uses less digits than its factorization.

3861216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 169 (or 155 counting only the distinct ones).

The product of its digits is 1728, while the sum is 27.

The square root of 3861216 is about 1964.9977099223. The cubic root of 3861216 is about 156.8825713927.

Adding to 3861216 its reverse (6121683), we get a palindrome (9982899).

The spelling of 3861216 in words is "three million, eight hundred sixty-one thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 41 48 54 72 82 96 108 109 123 144 164 216 218 246 288 327 328 369 432 436 492 654 656 738 864 872 981 984 1107 1308 1312 1476 1744 1962 1968 2214 2616 2943 2952 3488 3924 3936 4428 4469 5232 5886 5904 7848 8856 8938 10464 11772 11808 13407 15696 17712 17876 23544 26814 31392 35424 35752 40221 47088 53628 71504 80442 94176 107256 120663 143008 160884 214512 241326 321768 429024 482652 643536 965304 1287072 1930608 3861216