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4286280 = 2335231553
BaseRepresentation
bin10000010110011101001000
322001202200010
4100112131020
52044130110
6231511520
751301305
oct20263510
98052603
104286280
112468389
1215285a0
13b70c7b
147d80ac
1559a020
hex416748

4286280 has 64 divisors (see below), whose sum is σ = 13426560. Its totient is φ = 1092608.

The previous prime is 4286279. The next prime is 4286281. The reversal of 4286280 is 826824.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (4286279) and next prime (4286281).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (4286281) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1984 + ... + 3536.

It is an arithmetic number, because the mean of its divisors is an integer number (209790).

Almost surely, 24286280 is an apocalyptic number.

4286280 is a gapful number since it is divisible by the number (40) 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 4286280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6713280).

4286280 is an abundant number, since it is smaller than the sum of its proper divisors (9140280).

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

4286280 is a wasteful number, since it uses less digits than its factorization.

4286280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1590 (or 1586 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 30.

The square root of 4286280 is about 2070.3333064992. Note that the first 4 decimals coincide. The cubic root of 4286280 is about 162.4401989028.

The spelling of 4286280 in words is "four million, two hundred eighty-six thousand, two hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 23 24 30 40 46 60 69 92 115 120 138 184 230 276 345 460 552 690 920 1380 1553 2760 3106 4659 6212 7765 9318 12424 15530 18636 23295 31060 35719 37272 46590 62120 71438 93180 107157 142876 178595 186360 214314 285752 357190 428628 535785 714380 857256 1071570 1428760 2143140 4286280