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6878464 = 2897277
BaseRepresentation
bin11010001111010100000000
3110221110110221
4122033110000
53230102324
6403232424
7112315555
oct32172400
913843427
106878464
11397898a
122378714
13156aac8
14cb0a2c
1590d0e4
hex68f500

6878464 has 36 divisors (see below), whose sum is σ = 13921684. Its totient is φ = 3391488.

The previous prime is 6878453. The next prime is 6878467. The reversal of 6878464 is 4648786.

It can be written as a sum of positive squares in 2 ways, for example, as 2073600 + 4804864 = 1440^2 + 2192^2 .

It is an Ulam number.

It is a self number, because there is not a number n which added to its sum of digits gives 6878464.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6878467) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 24694 + ... + 24970.

Almost surely, 26878464 is an apocalyptic number.

6878464 is a gapful number since it is divisible by the number (64) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6878464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6960842).

6878464 is an abundant number, since it is smaller than the sum of its proper divisors (7043220).

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

6878464 is an equidigital number, since it uses as much as digits as its factorization.

6878464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 390 (or 376 counting only the distinct ones).

The product of its digits is 258048, while the sum is 43.

The square root of 6878464 is about 2622.6825961218. The cubic root of 6878464 is about 190.1795532573.

The spelling of 6878464 in words is "six million, eight hundred seventy-eight thousand, four hundred sixty-four".

Divisors: 1 2 4 8 16 32 64 97 128 194 256 277 388 554 776 1108 1552 2216 3104 4432 6208 8864 12416 17728 24832 26869 35456 53738 70912 107476 214952 429904 859808 1719616 3439232 6878464