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4114971 = 32733143
BaseRepresentation
bin1111101100101000011011
321202001200100
433230220123
52023134341
6224110443
746656000
oct17545033
97661610
104114971
112360703
121465423
13b10cc3
147918a7
155643b6
hex3eca1b

4114971 has 48 divisors (see below), whose sum is σ = 7321600. Its totient is φ = 2222640.

The previous prime is 4114951. The next prime is 4114997. The reversal of 4114971 is 1794114.

It is not a de Polignac number, because 4114971 - 27 = 4114843 is a prime.

It is a Duffinian number.

Its product of digits (1008) is a multiple of the sum of its prime divisors (84).

It is not an unprimeable number, because it can be changed into a prime (4114931) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 95676 + ... + 95718.

Almost surely, 24114971 is an apocalyptic number.

4114971 is a deficient number, since it is larger than the sum of its proper divisors (3206629).

4114971 is a wasteful number, since it uses less digits than its factorization.

4114971 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101 (or 84 counting only the distinct ones).

The product of its digits is 1008, while the sum is 27.

The square root of 4114971 is about 2028.5391295215. The cubic root of 4114971 is about 160.2466378449.

The spelling of 4114971 in words is "four million, one hundred fourteen thousand, nine hundred seventy-one".

Divisors: 1 3 7 9 21 31 43 49 63 93 129 147 217 279 301 343 387 441 651 903 1029 1333 1519 1953 2107 2709 3087 3999 4557 6321 9331 10633 11997 13671 14749 18963 27993 31899 44247 65317 83979 95697 132741 195951 457219 587853 1371657 4114971