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40084395 = 35131931349
BaseRepresentation
bin1001100011101…
…0001110101011
32210102111110020
42120322032223
540230200040
63551051523
7664466061
oct230721653
983374406
1040084395
1120698aaa
1211510ba3
1383c60a0
145476031
1537bbcd0
hex263a3ab

40084395 has 64 divisors (see below), whose sum is σ = 75264000. Its totient is φ = 18040320.

The previous prime is 40084391. The next prime is 40084439. The reversal of 40084395 is 59348004.

It is not a de Polignac number, because 40084395 - 22 = 40084391 is a prime.

It is not an unprimeable number, because it can be changed into a prime (40084391) 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, 114681 + ... + 115029.

It is an arithmetic number, because the mean of its divisors is an integer number (1176000).

Almost surely, 240084395 is an apocalyptic number.

40084395 is a deficient number, since it is larger than the sum of its proper divisors (35179605).

40084395 is a wasteful number, since it uses less digits than its factorization.

40084395 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 420.

The product of its (nonzero) digits is 17280, while the sum is 33.

The square root of 40084395 is about 6331.2238153457. The cubic root of 40084395 is about 342.2355427427.

The spelling of 40084395 in words is "forty million, eighty-four thousand, three hundred ninety-five".

Divisors: 1 3 5 13 15 19 31 39 57 65 93 95 155 195 247 285 349 403 465 589 741 1047 1209 1235 1745 1767 2015 2945 3705 4537 5235 6045 6631 7657 8835 10819 13611 19893 22685 22971 32457 33155 38285 54095 68055 86203 99465 114855 140647 162285 205561 258609 421941 431015 616683 703235 1027805 1293045 2109705 2672293 3083415 8016879 13361465 40084395