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4522272 = 253172163
BaseRepresentation
bin10001010000000100100000
322111202101120
4101100010200
52124203042
6240532240
753303316
oct21200440
98452346
104522272
112609717
121621080
13c24501
1485a0b6
155e4dec
hex450120

4522272 has 72 divisors (see below), whose sum is σ = 12687696. Its totient is φ = 1410048.

The previous prime is 4522261. The next prime is 4522303. The reversal of 4522272 is 2722254.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a d-powerful number, because it can be written as 44 + 52 + 216 + 218 + 221 + 7 + 221 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 27663 + ... + 27825.

It is an arithmetic number, because the mean of its divisors is an integer number (176218).

Almost surely, 24522272 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 4522272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6343848).

4522272 is an abundant number, since it is smaller than the sum of its proper divisors (8165424).

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

4522272 is a wasteful number, since it uses less digits than its factorization.

4522272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 210 (or 185 counting only the distinct ones).

The product of its digits is 2240, while the sum is 24.

The square root of 4522272 is about 2126.5634248712. The cubic root of 4522272 is about 165.3682866324.

The spelling of 4522272 in words is "four million, five hundred twenty-two thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 68 96 102 136 163 204 272 289 326 408 489 544 578 652 816 867 978 1156 1304 1632 1734 1956 2312 2608 2771 3468 3912 4624 5216 5542 6936 7824 8313 9248 11084 13872 15648 16626 22168 27744 33252 44336 47107 66504 88672 94214 133008 141321 188428 266016 282642 376856 565284 753712 1130568 1507424 2261136 4522272