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282068712 = 233215724953
BaseRepresentation
bin10000110100000…
…000011011101000
3201122202120112100
4100310000123220
51034202144322
643553413400
76663354522
oct2064003350
9648676470
10282068712
11135247442
127a56a260
1346590183
1429666a12
1519b6adac
hex10d006e8

282068712 has 48 divisors (see below), whose sum is σ = 768832740. Its totient is φ = 93420288.

The previous prime is 282068701. The next prime is 282068713. The reversal of 282068712 is 217860282.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 282038436 + 30276 = 16794^2 + 174^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (282068713) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1173 + ... + 23780.

Almost surely, 2282068712 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 282068712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (384416370).

282068712 is an abundant number, since it is smaller than the sum of its proper divisors (486764028).

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

282068712 is a wasteful number, since it uses less digits than its factorization.

282068712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25122 (or 25115 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The square root of 282068712 is about 16794.9013691656. The cubic root of 282068712 is about 655.8204756122.

The spelling of 282068712 in words is "two hundred eighty-two million, sixty-eight thousand, seven hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 157 314 471 628 942 1256 1413 1884 2826 3768 5652 11304 24953 49906 74859 99812 149718 199624 224577 299436 449154 598872 898308 1796616 3917621 7835242 11752863 15670484 23505726 31340968 35258589 47011452 70517178 94022904 141034356 282068712