Search a number
-
+
285413832 = 23321121812
BaseRepresentation
bin10001000000110…
…001000111001000
3201220001112011200
4101000301013020
51041031220312
644153224200
710033656204
oct2100610710
9656045150
10285413832
11137121700
127b702060
1347191932
1429c97b04
151a0cc0dc
hex110311c8

285413832 has 108 divisors (see below), whose sum is σ = 854376705. Its totient is φ = 86011200.

The previous prime is 285413827. The next prime is 285413837. The reversal of 285413832 is 238314582.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is an interprime number because it is at equal distance from previous prime (285413827) and next prime (285413837).

It can be written as a sum of positive squares in 2 ways, for example, as 172501956 + 112911876 = 13134^2 + 10626^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=11946.

It is a super-2 number, since 2×2854138322 = 162922110993848448, which contains 22 as substring.

It is a Smith number, since the sum of its digits (36) 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 (36).

It is not an unprimeable number, because it can be changed into a prime (285413837) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1576782 + ... + 1576962.

Almost surely, 2285413832 is an apocalyptic number.

285413832 is a gapful number since it is divisible by the number (22) 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 285413832

285413832 is an abundant number, since it is smaller than the sum of its proper divisors (568962873).

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

285413832 is a wasteful number, since it uses less digits than its factorization.

285413832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 396 (or 197 counting only the distinct ones).

The product of its digits is 46080, while the sum is 36.

The square root of 285413832 is about 16894.1952161090. The cubic root of 285413832 is about 658.4028045828.

The spelling of 285413832 in words is "two hundred eighty-five million, four hundred thirteen thousand, eight hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 33 36 44 66 72 88 99 121 132 181 198 242 264 362 363 396 484 543 724 726 792 968 1086 1089 1448 1452 1629 1991 2172 2178 2904 3258 3982 4344 4356 5973 6516 7964 8712 11946 13032 15928 17919 21901 23892 32761 35838 43802 47784 65522 65703 71676 87604 98283 131044 131406 143352 175208 196566 197109 262088 262812 294849 360371 393132 394218 525624 589698 720742 786264 788436 1081113 1179396 1441484 1576872 2162226 2358792 2882968 3243339 3964081 4324452 6486678 7928162 8648904 11892243 12973356 15856324 23784486 25946712 31712648 35676729 47568972 71353458 95137944 142706916 285413832