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6427696 = 241159619
BaseRepresentation
bin11000100001010000110000
3110002120010211
4120201100300
53121141241
6345433504
7105430432
oct30412060
913076124
106427696
1136a0250
12219b894
131440892
14bd4652
1586e781
hex621430

6427696 has 40 divisors (see below), whose sum is σ = 13838400. Its totient is φ = 2867520.

The previous prime is 6427679. The next prime is 6427703. The reversal of 6427696 is 6967246.

It is a Smith number, since the sum of its digits (40) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10075 + ... + 10693.

It is an arithmetic number, because the mean of its divisors is an integer number (345960).

Almost surely, 26427696 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6427696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6919200).

6427696 is an abundant number, since it is smaller than the sum of its proper divisors (7410704).

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

6427696 is a wasteful number, since it uses less digits than its factorization.

6427696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 697 (or 691 counting only the distinct ones).

The product of its digits is 108864, while the sum is 40.

The square root of 6427696 is about 2535.2901214654. The cubic root of 6427696 is about 185.9309876165.

It can be divided in two parts, 642 and 7696, that added together give a palindrome (8338).

The spelling of 6427696 in words is "six million, four hundred twenty-seven thousand, six hundred ninety-six".

Divisors: 1 2 4 8 11 16 22 44 59 88 118 176 236 472 619 649 944 1238 1298 2476 2596 4952 5192 6809 9904 10384 13618 27236 36521 54472 73042 108944 146084 292168 401731 584336 803462 1606924 3213848 6427696