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6216864 = 253312089
BaseRepresentation
bin10111101101110010100000
3102200211221020
4113231302200
53042414424
6341125440
7103561653
oct27556240
912624836
106216864
113566905
1220b9880
131398924
14b7b89a
1582c079
hex5edca0

6216864 has 48 divisors (see below), whose sum is σ = 16853760. Its totient is φ = 2004480.

The previous prime is 6216841. The next prime is 6216887. The reversal of 6216864 is 4686126.

It is a happy number.

6216864 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (6216841) and next prime (6216887).

It is a tau number, because it is divible by the number of its divisors (48).

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

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, 1932 + ... + 4020.

It is an arithmetic number, because the mean of its divisors is an integer number (351120).

Almost surely, 26216864 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 6216864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8426880).

6216864 is an abundant number, since it is smaller than the sum of its proper divisors (10636896).

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

6216864 is a wasteful number, since it uses less digits than its factorization.

6216864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2133 (or 2125 counting only the distinct ones).

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

The square root of 6216864 is about 2493.3639926814. The cubic root of 6216864 is about 183.8754670887.

The spelling of 6216864 in words is "six million, two hundred sixteen thousand, eight hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 16 24 31 32 48 62 93 96 124 186 248 372 496 744 992 1488 2089 2976 4178 6267 8356 12534 16712 25068 33424 50136 64759 66848 100272 129518 194277 200544 259036 388554 518072 777108 1036144 1554216 2072288 3108432 6216864