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280000448 = 26713131367
BaseRepresentation
bin10000101100000…
…111011111000000
3201111212111101222
4100230013133000
51033140003243
643441214212
76636651560
oct2054073700
9644774358
10280000448
11134064532
1279931368
1346017950
1429288da0
15198ad168
hex10b077c0

280000448 has 112 divisors (see below), whose sum is σ = 690945024. Its totient is φ = 109624320.

The previous prime is 280000403. The next prime is 280000451. The reversal of 280000448 is 844000082.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 762761 + ... + 763127.

It is an arithmetic number, because the mean of its divisors is an integer number (6169152).

Almost surely, 2280000448 is an apocalyptic number.

280000448 is a gapful number since it is divisible by the number (28) 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 280000448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (345472512).

280000448 is an abundant number, since it is smaller than the sum of its proper divisors (410944576).

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

280000448 is a wasteful number, since it uses less digits than its factorization.

280000448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 530 (or 520 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 26.

The square root of 280000448 is about 16733.2139172366. The cubic root of 280000448 is about 654.2136109513.

It can be divided in two parts, 280000 and 448, that multiplied together give a square (125440000 = 112002).

The spelling of 280000448 in words is "two hundred eighty million, four hundred forty-eight", and thus it is an aban number.

Divisors: 1 2 4 7 8 13 14 16 26 28 32 52 56 64 91 104 112 131 182 208 224 262 364 367 416 448 524 728 734 832 917 1048 1456 1468 1703 1834 2096 2569 2912 2936 3406 3668 4192 4771 5138 5824 5872 6812 7336 8384 9542 10276 11744 11921 13624 14672 19084 20552 23488 23842 27248 29344 33397 38168 41104 47684 48077 54496 58688 66794 76336 82208 95368 96154 108992 133588 152672 164416 190736 192308 267176 305344 336539 381472 384616 534352 625001 673078 762944 769232 1068704 1250002 1346156 1538464 2137408 2500004 2692312 3076928 4375007 5000008 5384624 8750014 10000016 10769248 17500028 20000032 21538496 35000056 40000064 70000112 140000224 280000448