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4485216 = 253192459
BaseRepresentation
bin10001000111000001100000
322102212120010
4101013001200
52122011331
6240044520
753060301
oct21070140
98385503
104485216
11259389a
121603740
13c10698
1484a7a8
155d8e46
hex447060

4485216 has 48 divisors (see below), whose sum is σ = 12398400. Its totient is φ = 1415808.

The previous prime is 4485211. The next prime is 4485223. The reversal of 4485216 is 6125844.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4485211) 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, 595 + ... + 3053.

It is an arithmetic number, because the mean of its divisors is an integer number (258300).

Almost surely, 24485216 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 4485216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6199200).

4485216 is an abundant number, since it is smaller than the sum of its proper divisors (7913184).

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

4485216 is a wasteful number, since it uses less digits than its factorization.

4485216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2491 (or 2483 counting only the distinct ones).

The product of its digits is 7680, while the sum is 30.

The square root of 4485216 is about 2117.8328545945. The cubic root of 4485216 is about 164.9153652268.

The spelling of 4485216 in words is "four million, four hundred eighty-five thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 12 16 19 24 32 38 48 57 76 96 114 152 228 304 456 608 912 1824 2459 4918 7377 9836 14754 19672 29508 39344 46721 59016 78688 93442 118032 140163 186884 236064 280326 373768 560652 747536 1121304 1495072 2242608 4485216