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5282280 = 233356773
BaseRepresentation
bin10100001001100111101000
3100221100221000
4110021213220
52323013110
6305115000
762620143
oct24114750
910840830
105282280
112a88723
121928a60
13112c413
149b705a
156e51c0
hex5099e8

5282280 has 128 divisors (see below), whose sum is σ = 18115200. Its totient is φ = 1368576.

The previous prime is 5282279. The next prime is 5282281. The reversal of 5282280 is 822825.

It is an interprime number because it is at equal distance from previous prime (5282279) and next prime (5282281).

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

It is not an unprimeable number, because it can be changed into a prime (5282281) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 72324 + ... + 72396.

It is an arithmetic number, because the mean of its divisors is an integer number (141525).

Almost surely, 25282280 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 5282280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9057600).

5282280 is an abundant number, since it is smaller than the sum of its proper divisors (12832920).

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

5282280 is a wasteful number, since it uses less digits than its factorization.

5282280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 160 (or 150 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 27.

The square root of 5282280 is about 2298.3211263877. The cubic root of 5282280 is about 174.1568146357.

The spelling of 5282280 in words is "five million, two hundred eighty-two thousand, two hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 67 72 73 90 108 120 134 135 146 180 201 216 219 268 270 292 335 360 365 402 438 536 540 584 603 657 670 730 804 876 1005 1080 1095 1206 1314 1340 1460 1608 1752 1809 1971 2010 2190 2412 2628 2680 2920 3015 3285 3618 3942 4020 4380 4824 4891 5256 6030 6570 7236 7884 8040 8760 9045 9782 9855 12060 13140 14472 14673 15768 18090 19564 19710 24120 24455 26280 29346 36180 39128 39420 44019 48910 58692 72360 73365 78840 88038 97820 117384 132057 146730 176076 195640 220095 264114 293460 352152 440190 528228 586920 660285 880380 1056456 1320570 1760760 2641140 5282280