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40286484 = 2235731191
BaseRepresentation
bin1001100110101…
…1100100010100
32210210202200000
42121223210110
540303131414
63555251300
7666300210
oct231534424
983722600
1040286484
1120816917
12115a9b30
138467074
1454c9940
15380bb09
hex266b914

40286484 has 144 divisors (see below), whose sum is σ = 125239296. Its totient is φ = 11080800.

The previous prime is 40286483. The next prime is 40286489. The reversal of 40286484 is 48468204.

40286484 is a `hidden beast` number, since 4 + 0 + 2 + 8 + 648 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40286483) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 210829 + ... + 211019.

Almost surely, 240286484 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 40286484, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62619648).

40286484 is an abundant number, since it is smaller than the sum of its proper divisors (84952812).

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

40286484 is a wasteful number, since it uses less digits than its factorization.

40286484 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 248 (or 234 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 36.

The square root of 40286484 is about 6347.1634609485. The cubic root of 40286484 is about 342.8097157612.

The spelling of 40286484 in words is "forty million, two hundred eighty-six thousand, four hundred eighty-four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 31 36 42 54 62 63 81 84 93 108 124 126 162 186 189 191 217 243 252 279 324 372 378 382 434 486 558 567 573 651 756 764 837 868 972 1116 1134 1146 1302 1337 1674 1701 1719 1953 2268 2292 2511 2604 2674 3348 3402 3438 3906 4011 5022 5157 5348 5859 5921 6804 6876 7533 7812 8022 10044 10314 11718 11842 12033 15066 15471 16044 17577 17763 20628 23436 23684 24066 30132 30942 35154 35526 36099 41447 46413 48132 52731 53289 61884 70308 71052 72198 82894 92826 105462 106578 108297 124341 144396 159867 165788 185652 210924 213156 216594 248682 319734 324891 373023 433188 479601 497364 639468 649782 746046 959202 1119069 1299564 1438803 1492092 1918404 2238138 2877606 3357207 4476276 5755212 6714414 10071621 13428828 20143242 40286484