Search a number
-
+
285673038 = 23731271093
BaseRepresentation
bin10001000001110…
…000011001001110
3201220112200201220
4101001300121032
51041113014123
644202544210
710036116000
oct2101603116
9656480656
10285673038
11137289422
127b808066
1347252901
1429d24370
151a12dce3
hex1107064e

285673038 has 64 divisors (see below), whose sum is σ = 672153600. Its totient is φ = 80904096.

The previous prime is 285673033. The next prime is 285673043. The reversal of 285673038 is 830376582.

It is an interprime number because it is at equal distance from previous prime (285673033) and next prime (285673043).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (285673033) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 260820 + ... + 261912.

It is an arithmetic number, because the mean of its divisors is an integer number (10502400).

Almost surely, 2285673038 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 285673038, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (336076800).

285673038 is an abundant number, since it is smaller than the sum of its proper divisors (386480562).

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

285673038 is a wasteful number, since it uses less digits than its factorization.

285673038 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1246 (or 1232 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 42.

The square root of 285673038 is about 16901.8649266878. The cubic root of 285673038 is about 658.6020594898.

The spelling of 285673038 in words is "two hundred eighty-five million, six hundred seventy-three thousand, thirty-eight".

Divisors: 1 2 3 6 7 14 21 42 49 98 127 147 254 294 343 381 686 762 889 1029 1093 1778 2058 2186 2667 3279 5334 6223 6558 7651 12446 15302 18669 22953 37338 43561 45906 53557 87122 107114 130683 138811 160671 261366 277622 321342 374899 416433 749798 832866 971677 1124697 1943354 2249394 2915031 5830062 6801739 13603478 20405217 40810434 47612173 95224346 142836519 285673038