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3856125 = 353713113
BaseRepresentation
bin1110101101011011111101
321020220121110
432231123331
51441344000
6214352233
744530230
oct16553375
97226543
103856125
1121a4189
12135b679
13a50240
14725417
15512850
hex3ad6fd

3856125 has 64 divisors (see below), whose sum is σ = 7967232. Its totient is φ = 1612800.

The previous prime is 3856123. The next prime is 3856129. The reversal of 3856125 is 5216583.

It is not a de Polignac number, because 3856125 - 21 = 3856123 is a prime.

It is an alternating number because its digits alternate between odd and even.

3856125 is a lucky number.

It is a junction number, because it is equal to n+sod(n) for n = 3856092 and 3856101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3856123) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 34069 + ... + 34181.

It is an arithmetic number, because the mean of its divisors is an integer number (124488).

Almost surely, 23856125 is an apocalyptic number.

3856125 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

3856125 is the 1050-th nonagonal number.

It is an amenable number.

3856125 is an abundant number, since it is smaller than the sum of its proper divisors (4111107).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

3856125 is a wasteful number, since it uses less digits than its factorization.

3856125 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 151 (or 141 counting only the distinct ones).

The product of its digits is 7200, while the sum is 30.

The square root of 3856125 is about 1963.7018612814. The cubic root of 3856125 is about 156.8135913571.

Subtracting from 3856125 its product of digits (7200), we obtain a triangular number (3848925 = T2774).

The spelling of 3856125 in words is "three million, eight hundred fifty-six thousand, one hundred twenty-five".

Divisors: 1 3 5 7 13 15 21 25 35 39 65 75 91 105 113 125 175 195 273 325 339 375 455 525 565 791 875 975 1365 1469 1625 1695 2275 2373 2625 2825 3955 4407 4875 6825 7345 8475 10283 11375 11865 14125 19775 22035 30849 34125 36725 42375 51415 59325 98875 110175 154245 183625 257075 296625 550875 771225 1285375 3856125