Search a number
-
+
40084317 = 32713172879
BaseRepresentation
bin1001100011101…
…0001101011101
32210102111100100
42120322031131
540230144232
63551051313
7664465620
oct230721535
983374310
1040084317
1120698a39
1211510b39
1383c6040
145475db7
1537bbc7c
hex263a35d

40084317 has 48 divisors (see below), whose sum is σ = 75479040. Its totient is φ = 19892736.

The previous prime is 40084277. The next prime is 40084327. The reversal of 40084317 is 71348004.

It is not a de Polignac number, because 40084317 - 214 = 40067933 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40084327) 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, 12484 + ... + 15362.

It is an arithmetic number, because the mean of its divisors is an integer number (1572480).

Almost surely, 240084317 is an apocalyptic number.

It is an amenable number.

40084317 is a deficient number, since it is larger than the sum of its proper divisors (35394723).

40084317 is a wasteful number, since it uses less digits than its factorization.

40084317 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2922 (or 2919 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 40084317 is about 6331.2176553962. The cubic root of 40084317 is about 342.2353207578.

It can be divided in two parts, 40084 and 317, that added together give a square (40401 = 2012).

The spelling of 40084317 in words is "forty million, eighty-four thousand, three hundred seventeen".

Divisors: 1 3 7 9 13 17 21 39 51 63 91 117 119 153 221 273 357 663 819 1071 1547 1989 2879 4641 8637 13923 20153 25911 37427 48943 60459 112281 146829 181377 261989 336843 342601 440487 636259 785967 1027803 1908777 2357901 3083409 4453813 5726331 13361439 40084317