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40533900 = 223521171173
BaseRepresentation
bin1001101010011…
…1111110001100
32211021100001120
42122213332030
540334041100
64004440540
71001350431
oct232477614
984240046
1040533900
11209757a0
12116a9150
138522874
145551b88
15385a0a0
hex26a7f8c

40533900 has 144 divisors (see below), whose sum is σ = 130491648. Its totient is φ = 9632000.

The previous prime is 40533869. The next prime is 40533901. The reversal of 40533900 is 933504.

It is not an unprimeable number, because it can be changed into a prime (40533901) 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, 234214 + ... + 234386.

It is an arithmetic number, because the mean of its divisors is an integer number (906192).

Almost surely, 240533900 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 40533900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65245824).

40533900 is an abundant number, since it is smaller than the sum of its proper divisors (89957748).

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

40533900 is a wasteful number, since it uses less digits than its factorization.

40533900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 272 (or 265 counting only the distinct ones).

The product of its (nonzero) digits is 1620, while the sum is 24.

The square root of 40533900 is about 6366.6239091060. The cubic root of 40533900 is about 343.5100628661.

The spelling of 40533900 in words is "forty million, five hundred thirty-three thousand, nine hundred".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 25 30 33 44 50 55 60 66 71 75 100 110 132 142 150 165 173 213 220 275 284 300 330 346 355 426 519 550 660 692 710 781 825 852 865 1038 1065 1100 1420 1562 1650 1730 1775 1903 2076 2130 2343 2595 3124 3300 3460 3550 3806 3905 4260 4325 4686 5190 5325 5709 7100 7612 7810 8650 9372 9515 10380 10650 11418 11715 12283 12975 15620 17300 19030 19525 21300 22836 23430 24566 25950 28545 36849 38060 39050 46860 47575 49132 51900 57090 58575 61415 73698 78100 95150 114180 117150 122830 135113 142725 147396 184245 190300 234300 245660 270226 285450 307075 368490 405339 540452 570900 614150 675565 736980 810678 921225 1228300 1351130 1621356 1842450 2026695 2702260 3377825 3684900 4053390 6755650 8106780 10133475 13511300 20266950 40533900