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40018284 = 22325983227
BaseRepresentation
bin1001100010101…
…0000101101100
32210022010202200
42120222011230
540221041114
63545421500
7664102245
oct230520554
983263680
1040018284
1120653369
121149a890
1383a1c77
145459ccc
1537a7409
hex262a16c

40018284 has 72 divisors (see below), whose sum is σ = 104569920. Its totient is φ = 12898272.

The previous prime is 40018283. The next prime is 40018327. The reversal of 40018284 is 48281004.

40018284 is a `hidden beast` number, since 400 + 182 + 84 = 666.

It is not an unprimeable number, because it can be changed into a prime (40018283) 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 23 ways as a sum of consecutive naturals, for example, 176179 + ... + 176405.

It is an arithmetic number, because the mean of its divisors is an integer number (1452360).

Almost surely, 240018284 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40018284, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52284960).

40018284 is an abundant number, since it is smaller than the sum of its proper divisors (64551636).

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

40018284 is a wasteful number, since it uses less digits than its factorization.

40018284 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 379 (or 374 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 27.

The square root of 40018284 is about 6326.0006323111. Note that the first 3 decimals coincide. The cubic root of 40018284 is about 342.0472900647.

Adding to 40018284 its reverse (48281004), we get a palindrome (88299288).

The spelling of 40018284 in words is "forty million, eighteen thousand, two hundred eighty-four".

Divisors: 1 2 3 4 6 9 12 18 36 59 83 118 166 177 227 236 249 332 354 454 498 531 681 708 747 908 996 1062 1362 1494 2043 2124 2724 2988 4086 4897 8172 9794 13393 14691 18841 19588 26786 29382 37682 40179 44073 53572 56523 58764 75364 80358 88146 113046 120537 160716 169569 176292 226092 241074 339138 482148 678276 1111619 2223238 3334857 4446476 6669714 10004571 13339428 20009142 40018284