Search a number
-
+
40832484 = 223721159107
BaseRepresentation
bin1001101111000…
…0110111100100
32211211111122020
42123300313210
540423114414
64015103140
71004033100
oct233606744
984744566
1040832484
112105a060
1211811ab0
1385c8744
1455cc900
1538b87a9
hex26f0de4

40832484 has 144 divisors (see below), whose sum is σ = 124104960. Its totient is φ = 10328640.

The previous prime is 40832461. The next prime is 40832503. The reversal of 40832484 is 48423804.

It is a super-2 number, since 2×408324842 = 3334583499220512, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 381559 + ... + 381665.

It is an arithmetic number, because the mean of its divisors is an integer number (861840).

Almost surely, 240832484 is an apocalyptic number.

40832484 is a gapful number since it is divisible by the number (44) 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 40832484, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62052480).

40832484 is an abundant number, since it is smaller than the sum of its proper divisors (83272476).

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

40832484 is a wasteful number, since it uses less digits than its factorization.

40832484 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 198 (or 189 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 33.

The square root of 40832484 is about 6390.0300468777. The cubic root of 40832484 is about 344.3514638456.

The spelling of 40832484 in words is "forty million, eight hundred thirty-two thousand, four hundred eighty-four".

Divisors: 1 2 3 4 6 7 11 12 14 21 22 28 33 42 44 49 59 66 77 84 98 107 118 132 147 154 177 196 214 231 236 294 308 321 354 413 428 462 539 588 642 649 708 749 826 924 1078 1177 1239 1284 1298 1498 1617 1652 1947 2156 2247 2354 2478 2596 2891 2996 3234 3531 3894 4494 4543 4708 4956 5243 5782 6313 6468 7062 7788 8239 8673 8988 9086 10486 11564 12626 13629 14124 15729 16478 17346 18172 18939 20972 24717 25252 27258 31458 31801 32956 34692 37878 44191 49434 54516 57673 62916 63602 69443 75756 88382 95403 98868 115346 127204 132573 138886 173019 176764 190806 208329 230692 265146 277772 309337 346038 381612 416658 486101 530292 618674 692076 833316 928011 972202 1237348 1458303 1856022 1944404 2916606 3402707 3712044 5833212 6805414 10208121 13610828 20416242 40832484