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3827969523 = 31374
BaseRepresentation
bin1110010000101010…
…0010110111110011
3100212210000000000000
43210022202313303
530314430011043
61431502401043
7163601130000
oct34412426763
910783000000
103827969523
111694875184
128a9b90183
134900ab131
142845728a7
151760e32d3
hexe42a2df3

3827969523 has 70 divisors (see below), whose sum is σ = 6698546684. Its totient is φ = 2187411156.

The previous prime is 3827969513. The next prime is 3827969533. The reversal of 3827969523 is 3259697283.

It is a happy number.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

3827969523 is a `hidden beast` number, since 3 + 8 + 27 + 96 + 9 + 523 = 666.

It is an interprime number because it is at equal distance from previous prime (3827969513) and next prime (3827969533).

It is not a de Polignac number, because 3827969523 - 26 = 3827969459 is a prime.

It is a Duffinian number.

Its product of digits (4898880) is a multiple of the sum of its prime divisors (10).

It is a self number, because there is not a number n which added to its sum of digits gives 3827969523.

It is not an unprimeable number, because it can be changed into a prime (3827969513) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 69 ways as a sum of consecutive naturals, for example, 546852786 + ... + 546852792.

Almost surely, 23827969523 is an apocalyptic number.

3827969523 is a deficient number, since it is larger than the sum of its proper divisors (2870577161).

3827969523 is an frugal number, since it uses more digits than its factorization.

3827969523 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67 (or 10 counting only the distinct ones).

The product of its digits is 4898880, while the sum is 54.

The square root of 3827969523 is about 61870.5868971679. The cubic root of 3827969523 is about 1564.3100080081.

The spelling of 3827969523 in words is "three billion, eight hundred twenty-seven million, nine hundred sixty-nine thousand, five hundred twenty-three".

Divisors: 1 3 7 9 21 27 49 63 81 147 189 243 343 441 567 729 1029 1323 1701 2187 2401 3087 3969 5103 6561 7203 9261 11907 15309 19683 21609 27783 35721 45927 59049 64827 83349 107163 137781 177147 194481 250047 321489 413343 531441 583443 750141 964467 1240029 1594323 1750329 2250423 2893401 3720087 5250987 6751269 8680203 11160261 15752961 20253807 26040609 47258883 60761421 78121827 141776649 182284263 425329947 546852789 1275989841 3827969523