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280528248 = 2337111311677
BaseRepresentation
bin10000101110001…
…000010101111000
3201112212022102010
4100232020111320
51033303400443
643500405520
76644310420
oct2056102570
9645768363
10280528248
11134395030
1279b468a0
1346170c60
1429385480
1519964733
hex10b88578

280528248 has 128 divisors (see below), whose sum is σ = 941713920. Its totient is φ = 67253760.

The previous prime is 280528231. The next prime is 280528277. The reversal of 280528248 is 842825082.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 18186 + ... + 29862.

It is an arithmetic number, because the mean of its divisors is an integer number (7357140).

Almost surely, 2280528248 is an apocalyptic number.

280528248 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 280528248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (470856960).

280528248 is an abundant number, since it is smaller than the sum of its proper divisors (661185672).

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

280528248 is a wasteful number, since it uses less digits than its factorization.

280528248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11717 (or 11713 counting only the distinct ones).

The product of its (nonzero) digits is 81920, while the sum is 39.

The square root of 280528248 is about 16748.9775210309. The cubic root of 280528248 is about 654.6244164981.

The spelling of 280528248 in words is "two hundred eighty million, five hundred twenty-eight thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 7 8 11 12 13 14 21 22 24 26 28 33 39 42 44 52 56 66 77 78 84 88 91 104 132 143 154 156 168 182 231 264 273 286 308 312 364 429 462 546 572 616 728 858 924 1001 1092 1144 1716 1848 2002 2184 3003 3432 4004 6006 8008 11677 12012 23354 24024 35031 46708 70062 81739 93416 128447 140124 151801 163478 245217 256894 280248 303602 326956 385341 455403 490434 513788 607204 653912 770682 899129 910806 980868 1027576 1062607 1214408 1541364 1669811 1798258 1821612 1961736 2125214 2697387 3082728 3187821 3339622 3596516 3643224 4250428 5009433 5394774 6375642 6679244 7193032 8500856 10018866 10789548 11688677 12751284 13358488 20037732 21579096 23377354 25502568 35066031 40075464 46754708 70132062 93509416 140264124 280528248