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4822272 = 283271323
BaseRepresentation
bin10010011001010100000000
3100001222220200
4102121110000
52213303042
6251205200
755663050
oct22312400
910058820
104822272
1127a4054
121746800
13ccac20
148d7560
15653c4c
hex499500

4822272 has 216 divisors, whose sum is σ = 17856384. Its totient is φ = 1216512.

The previous prime is 4822231. The next prime is 4822273. The reversal of 4822272 is 2722284.

4822272 = T8 + T9 + ... + T306.

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 (4822273) 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 23 ways as a sum of consecutive naturals, for example, 209653 + ... + 209675.

Almost surely, 24822272 is an apocalyptic number.

4822272 is a gapful number since it is divisible by the number (42) 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 4822272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8928192).

4822272 is an abundant number, since it is smaller than the sum of its proper divisors (13034112).

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

4822272 is a wasteful number, since it uses less digits than its factorization.

4822272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65 (or 48 counting only the distinct ones).

The product of its digits is 3584, while the sum is 27.

The square root of 4822272 is about 2195.9672128700. The cubic root of 4822272 is about 168.9470324070.

The spelling of 4822272 in words is "four million, eight hundred twenty-two thousand, two hundred seventy-two".