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424228272 = 24313838191
BaseRepresentation
bin11001010010010…
…011010110110000
31002120021000210020
4121102103112300
51332100301042
6110032403440
713340611056
oct3122232660
91076230706
10424228272
111a8513a86
12ba0a6580
1369b75460
14404b01d6
152739c3ec
hex194935b0

424228272 has 80 divisors (see below), whose sum is σ = 1194590208. Its totient is φ = 128943360.

The previous prime is 424228267. The next prime is 424228279. The reversal of 424228272 is 272822424.

It is not an unprimeable number, because it can be changed into a prime (424228279) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 47697 + ... + 55887.

Almost surely, 2424228272 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 424228272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (597295104).

424228272 is an abundant number, since it is smaller than the sum of its proper divisors (770361936).

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

424228272 is a wasteful number, since it uses less digits than its factorization.

424228272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8298 (or 8292 counting only the distinct ones).

The product of its digits is 28672, while the sum is 33.

The square root of 424228272 is about 20596.8024702865. The cubic root of 424228272 is about 751.3919466036.

The spelling of 424228272 in words is "four hundred twenty-four million, two hundred twenty-eight thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 39 48 52 78 83 104 156 166 208 249 312 332 498 624 664 996 1079 1328 1992 2158 3237 3984 4316 6474 8191 8632 12948 16382 17264 24573 25896 32764 49146 51792 65528 98292 106483 131056 196584 212966 319449 393168 425932 638898 679853 851864 1277796 1359706 1703728 2039559 2555592 2719412 4079118 5111184 5438824 8158236 8838089 10877648 16316472 17676178 26514267 32632944 35352356 53028534 70704712 106057068 141409424 212114136 424228272