Search a number
-
+
281482542 = 23211331379
BaseRepresentation
bin10000110001110…
…001010100101110
3201121122210110100
4100301301110232
51034024420132
643533051530
76655363545
oct2061612456
9647583410
10281482542
11134987000
127a326ba6
1346416423
142955315c
1519aa237c
hex10c7152e

281482542 has 96 divisors (see below), whose sum is σ = 694287360. Its totient is φ = 82328400.

The previous prime is 281482541. The next prime is 281482561. The reversal of 281482542 is 245284182.

281482542 is a `hidden beast` number, since 28 + 14 + 82 + 542 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 281482497 and 281482506.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (281482541) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 742509 + ... + 742887.

It is an arithmetic number, because the mean of its divisors is an integer number (7232160).

Almost surely, 2281482542 is an apocalyptic number.

281482542 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 281482542, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (347143680).

281482542 is an abundant number, since it is smaller than the sum of its proper divisors (412804818).

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

281482542 is a wasteful number, since it uses less digits than its factorization.

281482542 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 451 (or 426 counting only the distinct ones).

The product of its digits is 40960, while the sum is 36.

The square root of 281482542 is about 16777.4414616770. The cubic root of 281482542 is about 655.3658713847.

The spelling of 281482542 in words is "two hundred eighty-one million, four hundred eighty-two thousand, five hundred forty-two".

Divisors: 1 2 3 6 9 11 18 22 31 33 62 66 93 99 121 186 198 242 279 341 363 379 558 682 726 758 1023 1089 1137 1331 2046 2178 2274 2662 3069 3411 3751 3993 4169 6138 6822 7502 7986 8338 11253 11749 11979 12507 22506 23498 23958 25014 33759 35247 37521 41261 45859 67518 70494 75042 82522 91718 105741 123783 129239 137577 211482 247566 258478 275154 371349 387717 412731 504449 742698 775434 825462 1008898 1163151 1421629 1513347 2326302 2843258 3026694 4264887 4540041 8529774 9080082 12794661 15637919 25589322 31275838 46913757 93827514 140741271 281482542