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282072 = 23372373
BaseRepresentation
bin1000100110111011000
3112022221010
41010313120
533011242
610013520
72253240
oct1046730
9468833
10282072
11182a1a
121172a0
139b50b
1474b20
155889c
hex44dd8

282072 has 64 divisors (see below), whose sum is σ = 852480. Its totient is φ = 76032.

The previous prime is 282071. The next prime is 282089. The reversal of 282072 is 270282.

It is a super-2 number, since 2×2820722 = 159129226368, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an Ulam number.

It is a plaindrome in base 15.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 282072.

It is not an unprimeable number, because it can be changed into a prime (282071) 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, 3828 + ... + 3900.

It is an arithmetic number, because the mean of its divisors is an integer number (13320).

2282072 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 282072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (426240).

282072 is an abundant number, since it is smaller than the sum of its proper divisors (570408).

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

282072 is a wasteful number, since it uses less digits than its factorization.

282072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112 (or 108 counting only the distinct ones).

The product of its (nonzero) digits is 448, while the sum is 21.

The square root of 282072 is about 531.1045094894. The cubic root of 282072 is about 65.5823023844.

The spelling of 282072 in words is "two hundred eighty-two thousand, seventy-two".

Divisors: 1 2 3 4 6 7 8 12 14 21 23 24 28 42 46 56 69 73 84 92 138 146 161 168 184 219 276 292 322 438 483 511 552 584 644 876 966 1022 1288 1533 1679 1752 1932 2044 3066 3358 3864 4088 5037 6132 6716 10074 11753 12264 13432 20148 23506 35259 40296 47012 70518 94024 141036 282072