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4082925 = 3527211101
BaseRepresentation
bin1111100100110011101101
321200102201110
433210303231
52021123200
6223302233
746463400
oct17446355
97612643
104082925
112339620
12144a979
13acc542
14783d37
15559b50
hex3e4ced

4082925 has 72 divisors (see below), whose sum is σ = 8651232. Its totient is φ = 1680000.

The previous prime is 4082921. The next prime is 4082933. The reversal of 4082925 is 5292804.

4082925 is a nontrivial binomial coefficient, being equal to C(101, 4).

It is not a de Polignac number, because 4082925 - 22 = 4082921 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 4082892 and 4082901.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4082921) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 40375 + ... + 40475.

It is an arithmetic number, because the mean of its divisors is an integer number (120156).

Almost surely, 24082925 is an apocalyptic number.

4082925 is the 1650-th pentagonal number.

It is an amenable number.

4082925 is an abundant number, since it is smaller than the sum of its proper divisors (4568307).

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

4082925 is a wasteful number, since it uses less digits than its factorization.

4082925 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 139 (or 127 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 30.

The square root of 4082925 is about 2020.6249033405. The cubic root of 4082925 is about 159.8295711311.

It can be divided in two parts, 408 and 2925, that added together give a palindrome (3333).

The spelling of 4082925 in words is "four million, eighty-two thousand, nine hundred twenty-five".

Divisors: 1 3 5 7 11 15 21 25 33 35 49 55 75 77 101 105 147 165 175 231 245 275 303 385 505 525 539 707 735 825 1111 1155 1225 1515 1617 1925 2121 2525 2695 3333 3535 3675 4949 5555 5775 7575 7777 8085 10605 13475 14847 16665 17675 23331 24745 27775 38885 40425 53025 54439 74235 83325 116655 123725 163317 194425 272195 371175 583275 816585 1360975 4082925