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40842438 = 237131931127
BaseRepresentation
bin1001101111001…
…1010011000110
32211212000021220
42123303103012
540423424223
64015221210
71004104110
oct233632306
984760256
1040842438
112106658a
1211817806
138600130
1455d23b0
1538bb6e3
hex26f34c6

40842438 has 128 divisors (see below), whose sum is σ = 110100480. Its totient is φ = 9797760.

The previous prime is 40842433. The next prime is 40842479. The reversal of 40842438 is 83424804.

It is a junction number, because it is equal to n+sod(n) for n = 40842399 and 40842408.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40842433) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 321531 + ... + 321657.

It is an arithmetic number, because the mean of its divisors is an integer number (860160).

Almost surely, 240842438 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40842438, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55050240).

40842438 is an abundant number, since it is smaller than the sum of its proper divisors (69258042).

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

40842438 is a wasteful number, since it uses less digits than its factorization.

40842438 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 202.

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

The square root of 40842438 is about 6390.8088689930. The cubic root of 40842438 is about 344.3794431702.

The spelling of 40842438 in words is "forty million, eight hundred forty-two thousand, four hundred thirty-eight".

Divisors: 1 2 3 6 7 13 14 19 21 26 31 38 39 42 57 62 78 91 93 114 127 133 182 186 217 247 254 266 273 381 399 403 434 494 546 589 651 741 762 798 806 889 1178 1209 1302 1482 1651 1729 1767 1778 2413 2418 2667 2821 3302 3458 3534 3937 4123 4826 4953 5187 5334 5642 7239 7657 7874 8246 8463 9906 10374 11557 11811 12369 14478 15314 16891 16926 22971 23114 23622 24738 27559 31369 33782 34671 45942 50673 51181 53599 55118 62738 69342 74803 82677 94107 101346 102362 107198 149606 153543 160797 165354 188214 219583 224409 307086 321594 358267 439166 448818 523621 658749 716534 972439 1047242 1074801 1317498 1570863 1944878 2149602 2917317 3141726 5834634 6807073 13614146 20421219 40842438