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6882993 = 321389661
BaseRepresentation
bin11010010000011010110001
3110221200200200
4122100122301
53230223433
6403305413
7112335015
oct32203261
913850620
106882993
113981327
12237b269
13156cba0
14cb2545
1590e613
hex6906b1

6882993 has 24 divisors (see below), whose sum is σ = 10843560. Its totient is φ = 4181760.

The previous prime is 6882991. The next prime is 6883007. The reversal of 6882993 is 3992886.

It can be written as a sum of positive squares in 4 ways, for example, as 242064 + 6640929 = 492^2 + 2577^2 .

It is not a de Polignac number, because 6882993 - 21 = 6882991 is a prime.

It is a d-powerful number, because it can be written as 6 + 8 + 87 + 211 + 92 + 93 + 314 .

It is not an unprimeable number, because it can be changed into a prime (6882991) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10083 + ... + 10743.

It is an arithmetic number, because the mean of its divisors is an integer number (451815).

Almost surely, 26882993 is an apocalyptic number.

It is an amenable number.

6882993 is a deficient number, since it is larger than the sum of its proper divisors (3960567).

6882993 is a wasteful number, since it uses less digits than its factorization.

6882993 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 769 (or 766 counting only the distinct ones).

The product of its digits is 186624, while the sum is 45.

The square root of 6882993 is about 2623.5458829607. The cubic root of 6882993 is about 190.2212841934.

It can be divided in two parts, 6882 and 993, that added together give a triangular number (7875 = T125).

The spelling of 6882993 in words is "six million, eight hundred eighty-two thousand, nine hundred ninety-three".

Divisors: 1 3 9 13 39 89 117 267 661 801 1157 1983 3471 5949 8593 10413 25779 58829 77337 176487 529461 764777 2294331 6882993