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6468957 = 331123947
BaseRepresentation
bin11000101011010101011101
3110011122202000
4120223111131
53124001312
6350352513
7105661635
oct30532535
913148660
106468957
113719250
1221bb739
1314565b1
14c056c5
1587badc
hex62b55d

6468957 has 32 divisors (see below), whose sum is σ = 10920960. Its totient is φ = 3746160.

The previous prime is 6468907. The next prime is 6468967. The reversal of 6468957 is 7598646.

It is not a de Polignac number, because 6468957 - 27 = 6468829 is a prime.

It is a d-powerful number, because it can be written as 66 + 411 + 68 + 8 + 96 + 53 + 75 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6468907) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6358 + ... + 7304.

It is an arithmetic number, because the mean of its divisors is an integer number (341280).

Almost surely, 26468957 is an apocalyptic number.

It is an amenable number.

6468957 is a deficient number, since it is larger than the sum of its proper divisors (4452003).

6468957 is a wasteful number, since it uses less digits than its factorization.

6468957 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 990 (or 984 counting only the distinct ones).

The product of its digits is 362880, while the sum is 45.

The square root of 6468957 is about 2543.4144373263. The cubic root of 6468957 is about 186.3279852991.

It can be divided in two parts, 64689 and 57, that added together give a palindrome (64746).

The spelling of 6468957 in words is "six million, four hundred sixty-eight thousand, nine hundred fifty-seven".

Divisors: 1 3 9 11 23 27 33 69 99 207 253 297 621 759 947 2277 2841 6831 8523 10417 21781 25569 31251 65343 93753 196029 239591 281259 588087 718773 2156319 6468957