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282161152 = 212713757
BaseRepresentation
bin10000110100010…
…111000000000000
3201122221021100001
4100310113000000
51034213124102
643555405344
76664221160
oct2064270000
9648837301
10282161152
111352aa939
127a5b3854
13465c3280
142968c5a0
1519b88487
hex10d17000

282161152 has 104 divisors (see below), whose sum is σ = 695383136. Its totient is φ = 111476736.

The previous prime is 282161147. The next prime is 282161179. The reversal of 282161152 is 251161282.

282161152 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (104).

It is a super-2 number, since 2×2821611522 = 159229831395934208, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a self number, because there is not a number n which added to its sum of digits gives 282161152.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 372358 + ... + 373114.

Almost surely, 2282161152 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 282161152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (347691568).

282161152 is an abundant number, since it is smaller than the sum of its proper divisors (413221984).

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

282161152 is an equidigital number, since it uses as much as digits as its factorization.

282161152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 801 (or 779 counting only the distinct ones).

The product of its digits is 1920, while the sum is 28.

The square root of 282161152 is about 16797.6531694163. The cubic root of 282161152 is about 655.8921099584.

The spelling of 282161152 in words is "two hundred eighty-two million, one hundred sixty-one thousand, one hundred fifty-two".

Divisors: 1 2 4 7 8 13 14 16 26 28 32 52 56 64 91 104 112 128 182 208 224 256 364 416 448 512 728 757 832 896 1024 1456 1514 1664 1792 2048 2912 3028 3328 3584 4096 5299 5824 6056 6656 7168 9841 10598 11648 12112 13312 14336 19682 21196 23296 24224 26624 28672 39364 42392 46592 48448 53248 68887 78728 84784 93184 96896 137774 157456 169568 186368 193792 275548 314912 339136 372736 387584 551096 629824 678272 775168 1102192 1259648 1356544 1550336 2204384 2519296 2713088 3100672 4408768 5038592 5426176 8817536 10077184 10852352 17635072 20154368 21704704 35270144 40308736 70540288 141080576 282161152