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3966729 = 3131731193
BaseRepresentation
bin1111001000011100001001
321110112022220
433020130021
52003413404
6221004253
745500544
oct17103411
97415286
103966729
11226a298
1213b3689
13a8b6a0
1475385b
155354d9
hex3c8709

3966729 has 32 divisors (see below), whose sum is σ = 6257664. Its totient is φ = 2211840.

The previous prime is 3966727. The next prime is 3966761. The reversal of 3966729 is 9276693.

It is not a de Polignac number, because 3966729 - 21 = 3966727 is a prime.

It is a super-3 number, since 3×39667293 (a number of 21 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (3966727) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 20457 + ... + 20649.

It is an arithmetic number, because the mean of its divisors is an integer number (195552).

Almost surely, 23966729 is an apocalyptic number.

3966729 is a gapful number since it is divisible by the number (39) formed by its first and last digit.

It is an amenable number.

3966729 is a deficient number, since it is larger than the sum of its proper divisors (2290935).

3966729 is a wasteful number, since it uses less digits than its factorization.

3966729 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 257.

The product of its digits is 122472, while the sum is 42.

The square root of 3966729 is about 1991.6648814497. The cubic root of 3966729 is about 158.2987590867.

The spelling of 3966729 in words is "three million, nine hundred sixty-six thousand, seven hundred twenty-nine".

Divisors: 1 3 13 17 31 39 51 93 193 221 403 527 579 663 1209 1581 2509 3281 5983 6851 7527 9843 17949 20553 42653 77779 101711 127959 233337 305133 1322243 3966729