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8066331 = 33731367
BaseRepresentation
bin11110110001010100011011
3120011210221000
4132301110123
54031110311
6444520043
7125364000
oct36612433
916153830
108066331
11460a399
122850023
1318956a0
1410dd8a7
15a95056
hex7b151b

8066331 has 64 divisors (see below), whose sum is σ = 15232000. Its totient is φ = 4191264.

The previous prime is 8066329. The next prime is 8066339. The reversal of 8066331 is 1336608.

It is not a de Polignac number, because 8066331 - 21 = 8066329 is a prime.

It is a super-2 number, since 2×80663312 = 130131391603122, which contains 22 as substring.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

8066331 is a lucky number.

It is a junction number, because it is equal to n+sod(n) for n = 8066295 and 8066304.

It is not an unprimeable number, because it can be changed into a prime (8066339) 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 63 ways as a sum of consecutive naturals, for example, 120360 + ... + 120426.

It is an arithmetic number, because the mean of its divisors is an integer number (238000).

Almost surely, 28066331 is an apocalyptic number.

8066331 is a deficient number, since it is larger than the sum of its proper divisors (7165669).

8066331 is a wasteful number, since it uses less digits than its factorization.

8066331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110 (or 90 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 8066331 is about 2840.1286942672. The cubic root of 8066331 is about 200.5512376229.

The spelling of 8066331 in words is "eight million, sixty-six thousand, three hundred thirty-one".

Divisors: 1 3 7 9 13 21 27 39 49 63 67 91 117 147 189 201 273 343 351 441 469 603 637 819 871 1029 1323 1407 1809 1911 2457 2613 3087 3283 4221 4459 5733 6097 7839 9261 9849 12663 13377 17199 18291 22981 23517 29547 40131 42679 54873 68943 88641 120393 128037 164619 206829 298753 384111 620487 896259 1152333 2688777 8066331