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40438125 = 325471379
BaseRepresentation
bin1001101001000…
…0100101101101
32211002110200100
42122100211231
540323010000
64002421313
71000501260
oct232204555
984073610
1040438125
112090a842
1211661839
1384bb0b0
145528cd7
15383ba00
hex269096d

40438125 has 120 divisors (see below), whose sum is σ = 90970880. Its totient is φ = 16848000.

The previous prime is 40438081. The next prime is 40438141. The reversal of 40438125 is 52183404.

It is not a de Polignac number, because 40438125 - 28 = 40437869 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 511836 + ... + 511914.

Almost surely, 240438125 is an apocalyptic number.

40438125 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

40438125 is an abundant number, since it is smaller than the sum of its proper divisors (50532755).

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

40438125 is a wasteful number, since it uses less digits than its factorization.

40438125 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 125 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 40438125 is about 6359.0978133694. The cubic root of 40438125 is about 343.2392967294.

The spelling of 40438125 in words is "forty million, four hundred thirty-eight thousand, one hundred twenty-five".

Divisors: 1 3 5 7 9 13 15 21 25 35 39 45 63 65 75 79 91 105 117 125 175 195 225 237 273 315 325 375 395 455 525 553 585 625 711 819 875 975 1027 1125 1185 1365 1575 1625 1659 1875 1975 2275 2625 2765 2925 3081 3555 4095 4375 4875 4977 5135 5625 5925 6825 7189 7875 8125 8295 9243 9875 11375 13125 13825 14625 15405 17775 20475 21567 24375 24885 25675 29625 34125 35945 39375 41475 46215 49375 56875 64701 69125 73125 77025 88875 102375 107835 124425 128375 148125 170625 179725 207375 231075 323505 345625 385125 444375 511875 539175 622125 641875 898625 1036875 1155375 1617525 1925625 2695875 3110625 4493125 5776875 8087625 13479375 40438125