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982105541 = 3724011789
BaseRepresentation
bin111010100010011…
…011110111000101
32112110000010112022
4322202123313011
54002404334131
6241241532525
733223521314
oct7242336705
92473003468
10982105541
1146441147a
12234aa4145
13128613251
149461027b
155b34937b
hex3a89bdc5

982105541 has 12 divisors (see below), whose sum is σ = 1012449060. Its totient is φ = 952646400.

The previous prime is 982105511. The next prime is 982105547. The reversal of 982105541 is 145501289.

It can be written as a sum of positive squares in 6 ways, for example, as 757405441 + 224700100 = 27521^2 + 14990^2 .

It is not a de Polignac number, because 982105541 - 222 = 977911237 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (982105547) 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 11 ways as a sum of consecutive naturals, for example, 548075 + ... + 549863.

It is an arithmetic number, because the mean of its divisors is an integer number (84370755).

Almost surely, 2982105541 is an apocalyptic number.

It is an amenable number.

982105541 is a deficient number, since it is larger than the sum of its proper divisors (30343519).

982105541 is a wasteful number, since it uses less digits than its factorization.

982105541 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2264 (or 2227 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 35.

The square root of 982105541 is about 31338.5631610640. The cubic root of 982105541 is about 993.9992432794. Note that the first 3 decimals are identical.

The spelling of 982105541 in words is "nine hundred eighty-two million, one hundred five thousand, five hundred forty-one".

Divisors: 1 37 401 1369 1789 14837 66193 548969 717389 2449141 26543393 982105541