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4225284 = 2238723
BaseRepresentation
bin10000000111100100000100
321221200000000
4100013210010
52040202114
6230321300
750625420
oct20074404
97850000
104225284
112426578
1214b9230
13b4c28b
147bdb80
15586e09
hex407904

4225284 has 108 divisors (see below), whose sum is σ = 13226304. Its totient is φ = 1154736.

The previous prime is 4225283. The next prime is 4225297. The reversal of 4225284 is 4825224.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (108).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4225283) 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 35 ways as a sum of consecutive naturals, for example, 183697 + ... + 183719.

Almost surely, 24225284 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 4225284, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6613152).

4225284 is an abundant number, since it is smaller than the sum of its proper divisors (9001020).

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

4225284 is an equidigital number, since it uses as much as digits as its factorization.

4225284 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58 (or 35 counting only the distinct ones).

The product of its digits is 5120, while the sum is 27.

The square root of 4225284 is about 2055.5495615528. The cubic root of 4225284 is about 161.6659784338.

The spelling of 4225284 in words is "four million, two hundred twenty-five thousand, two hundred eighty-four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 23 27 28 36 42 46 54 63 69 81 84 92 108 126 138 161 162 189 207 243 252 276 322 324 378 414 483 486 567 621 644 729 756 828 966 972 1134 1242 1449 1458 1701 1863 1932 2187 2268 2484 2898 2916 3402 3726 4347 4374 5103 5589 5796 6561 6804 7452 8694 8748 10206 11178 13041 13122 15309 16767 17388 20412 22356 26082 26244 30618 33534 39123 45927 50301 52164 61236 67068 78246 91854 100602 117369 150903 156492 183708 201204 234738 301806 352107 469476 603612 704214 1056321 1408428 2112642 4225284