Search a number
-
+
281885916 = 223132294793
BaseRepresentation
bin10000110011010…
…011110011011100
3201122102021210010
4100303103303130
51034130322131
643545443220
76661663554
oct2063236334
9648367703
10281885916
11135132074
127a4a0510
1346527c00
142961a164
1519b31b46
hex10cd3cdc

281885916 has 72 divisors (see below), whose sum is σ = 736933680. Its totient is φ = 83725824.

The previous prime is 281885911. The next prime is 281885917. The reversal of 281885916 is 619588182.

281885916 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (281885911) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 56416 + ... + 61208.

It is an arithmetic number, because the mean of its divisors is an integer number (10235190).

Almost surely, 2281885916 is an apocalyptic number.

281885916 is a gapful number since it is divisible by the number (26) 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 281885916, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (368466840).

281885916 is an abundant number, since it is smaller than the sum of its proper divisors (455047764).

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

281885916 is a wasteful number, since it uses less digits than its factorization.

281885916 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4855 (or 4840 counting only the distinct ones).

The product of its digits is 276480, while the sum is 48.

The square root of 281885916 is about 16789.4584784620. The cubic root of 281885916 is about 655.6787757822.

The spelling of 281885916 in words is "two hundred eighty-one million, eight hundred eighty-five thousand, nine hundred sixteen".

Divisors: 1 2 3 4 6 12 13 26 29 39 52 58 78 87 116 156 169 174 338 348 377 507 676 754 1014 1131 1508 2028 2262 4524 4793 4901 9586 9802 14379 14703 19172 19604 28758 29406 57516 58812 62309 124618 138997 186927 249236 277994 373854 416991 555988 747708 810017 833982 1620034 1667964 1806961 2430051 3240068 3613922 4860102 5420883 7227844 9720204 10841766 21683532 23490493 46980986 70471479 93961972 140942958 281885916