Search a number
-
+
281636628 = 223713733533
BaseRepresentation
bin10000110010010…
…110111100010100
3201121221121211020
4100302112330110
51034044333003
643540241140
76656605020
oct2062267424
9647847736
10281636628
11134a81849
127a3a01b0
134646b5c0
1429593380
1519ad2d53
hex10c96f14

281636628 has 96 divisors (see below), whose sum is σ = 820114176. Its totient is φ = 73239552.

The previous prime is 281636611. The next prime is 281636717. The reversal of 281636628 is 826636182.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a self number, because there is not a number n which added to its sum of digits gives 281636628.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 77950 + ... + 81482.

It is an arithmetic number, because the mean of its divisors is an integer number (8542856).

Almost surely, 2281636628 is an apocalyptic number.

281636628 is a gapful number since it is divisible by the number (28) 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 281636628, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (410057088).

281636628 is an abundant number, since it is smaller than the sum of its proper divisors (538477548).

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

281636628 is a wasteful number, since it uses less digits than its factorization.

281636628 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3633 (or 3631 counting only the distinct ones).

The product of its digits is 165888, while the sum is 42.

The square root of 281636628 is about 16782.0328923525. The cubic root of 281636628 is about 655.4854339033.

The spelling of 281636628 in words is "two hundred eighty-one million, six hundred thirty-six thousand, six hundred twenty-eight".

Divisors: 1 2 3 4 6 7 12 13 14 21 26 28 39 42 52 73 78 84 91 146 156 182 219 273 292 364 438 511 546 876 949 1022 1092 1533 1898 2044 2847 3066 3533 3796 5694 6132 6643 7066 10599 11388 13286 14132 19929 21198 24731 26572 39858 42396 45929 49462 74193 79716 91858 98924 137787 148386 183716 257909 275574 296772 321503 515818 551148 643006 773727 964509 1031636 1286012 1547454 1805363 1929018 3094908 3352817 3610726 3858036 5416089 6705634 7221452 10058451 10832178 13411268 20116902 21664356 23469719 40233804 46939438 70409157 93878876 140818314 281636628