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6427408 = 241322377
BaseRepresentation
bin11000100001001100010000
3110002112202011
4120201030100
53121134113
6345432304
7105426541
oct30411420
913075664
106427408
1136a0009
12219b694
131440700
14bd44c8
1586e63d
hex621310

6427408 has 30 divisors (see below), whose sum is σ = 13490394. Its totient is φ = 2965248.

The previous prime is 6427367. The next prime is 6427433. The reversal of 6427408 is 8047246.

It can be written as a sum of positive squares in 3 ways, for example, as 16384 + 6411024 = 128^2 + 2532^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 6427408.

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 5 ways as a sum of consecutive naturals, for example, 1516 + ... + 3892.

Almost surely, 26427408 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 6427408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6745197).

6427408 is an abundant number, since it is smaller than the sum of its proper divisors (7062986).

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

6427408 is a wasteful number, since it uses less digits than its factorization.

6427408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2411 (or 2392 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 31.

The square root of 6427408 is about 2535.2333225958. The cubic root of 6427408 is about 185.9282106274.

It can be divided in two parts, 64 and 27408, that added together give a palindrome (27472).

The spelling of 6427408 in words is "six million, four hundred twenty-seven thousand, four hundred eight".

Divisors: 1 2 4 8 13 16 26 52 104 169 208 338 676 1352 2377 2704 4754 9508 19016 30901 38032 61802 123604 247208 401713 494416 803426 1606852 3213704 6427408