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1985829 = 331131163
BaseRepresentation
bin111100100110100100101
310201220001020
413210310211
51002021304
6110321353
722610406
oct7446445
93656036
101985829
111136a8a
127b9259
13546b61
143999ad
152935d9
hex1e4d25

1985829 has 16 divisors (see below), whose sum is σ = 2770944. Its totient is φ = 1263600.

The previous prime is 1985803. The next prime is 1985849. The reversal of 1985829 is 9285891.

It is a happy number.

It is not a de Polignac number, because 1985829 - 28 = 1985573 is a prime.

It is a super-3 number, since 3×19858293 = 23493450172994633367, which contains 333 as substring.

1985829 is a lucky number.

It is a plaindrome in base 14.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1985849) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12102 + ... + 12264.

It is an arithmetic number, because the mean of its divisors is an integer number (173184).

21985829 is an apocalyptic number.

It is an amenable number.

1985829 is a deficient number, since it is larger than the sum of its proper divisors (785115).

1985829 is a wasteful number, since it uses less digits than its factorization.

1985829 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 328.

The product of its digits is 51840, while the sum is 42.

The square root of 1985829 is about 1409.1944507413. The cubic root of 1985829 is about 125.6938270402.

The spelling of 1985829 in words is "one million, nine hundred eighty-five thousand, eight hundred twenty-nine".

Divisors: 1 3 31 93 131 163 393 489 4061 5053 12183 15159 21353 64059 661943 1985829