Search a number
-
+
282891996 = 2232231492293
BaseRepresentation
bin10000110111001…
…001011011011100
3201201022101212100
4100313021123130
51034410020441
644023205100
710003354002
oct2067113334
9651271770
10282891996
11135759a42
127a8a6790
13467bab1a
14297dca72
1519c7ecb6
hex10dc96dc

282891996 has 72 divisors (see below), whose sum is σ = 751514400. Its totient is φ = 89553024.

The previous prime is 282891989. The next prime is 282892003. The reversal of 282891996 is 699198282.

282891996 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (282891989) and next prime (282892003).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 122226 + ... + 124518.

It is an arithmetic number, because the mean of its divisors is an integer number (10437700).

Almost surely, 2282891996 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 282891996, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (375757200).

282891996 is an abundant number, since it is smaller than the sum of its proper divisors (468622404).

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

282891996 is a wasteful number, since it uses less digits than its factorization.

282891996 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2475 (or 2470 counting only the distinct ones).

The product of its digits is 1119744, while the sum is 54.

The square root of 282891996 is about 16819.3934492300. The cubic root of 282891996 is about 656.4579113748.

The spelling of 282891996 in words is "two hundred eighty-two million, eight hundred ninety-one thousand, nine hundred ninety-six".

Divisors: 1 2 3 4 6 9 12 18 23 36 46 69 92 138 149 207 276 298 414 447 596 828 894 1341 1788 2293 2682 3427 4586 5364 6854 6879 9172 10281 13708 13758 20562 20637 27516 30843 41124 41274 52739 61686 82548 105478 123372 158217 210956 316434 341657 474651 632868 683314 949302 1024971 1366628 1898604 2049942 3074913 4099884 6149826 7858111 12299652 15716222 23574333 31432444 47148666 70722999 94297332 141445998 282891996