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28471248 = 24321367227
BaseRepresentation
bin110110010011…
…0111111010000
31222120111012200
41230212333100
524242034443
62454123200
7464000361
oct154467720
958514180
1028471248
1115086963
129650500
135b8b1c0
143ad1b68
152775dd3
hex1b26fd0

28471248 has 120 divisors (see below), whose sum is σ = 87473568. Its totient is φ = 8591616.

The previous prime is 28471211. The next prime is 28471249. The reversal of 28471248 is 84217482.

It is a super-2 number, since 2×284712482 = 1621223925355008, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28471249) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 125311 + ... + 125537.

Almost surely, 228471248 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 28471248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43736784).

28471248 is an abundant number, since it is smaller than the sum of its proper divisors (59002320).

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

28471248 is a wasteful number, since it uses less digits than its factorization.

28471248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 321 (or 312 counting only the distinct ones).

The product of its digits is 28672, while the sum is 36.

The square root of 28471248 is about 5335.8455749768. The cubic root of 28471248 is about 305.3529837831.

It can be divided in two parts, 2847 and 1248, that added together give a triangular number (4095 = T90).

The spelling of 28471248 in words is "twenty-eight million, four hundred seventy-one thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 36 39 48 52 67 72 78 104 117 134 144 156 201 208 227 234 268 312 402 454 468 536 603 624 681 804 871 908 936 1072 1206 1362 1608 1742 1816 1872 2043 2412 2613 2724 2951 3216 3484 3632 4086 4824 5226 5448 5902 6968 7839 8172 8853 9648 10452 10896 11804 13936 15209 15678 16344 17706 20904 23608 26559 30418 31356 32688 35412 41808 45627 47216 53118 60836 62712 70824 91254 106236 121672 125424 136881 141648 182508 197717 212472 243344 273762 365016 395434 424944 547524 593151 730032 790868 1095048 1186302 1581736 1779453 2190096 2372604 3163472 3558906 4745208 7117812 9490416 14235624 28471248