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6978864 = 243347419
BaseRepresentation
bin11010100111110100110000
3111010120012110
4122213310300
53241310424
6405325320
7113214354
oct32476460
914116173
106978864
113a37362
122406840
1315a4709
14cd9464
1592cc29
hex6a7d30

6978864 has 40 divisors (see below), whose sum is σ = 18123840. Its totient is φ = 2314048.

The previous prime is 6978841. The next prime is 6978869. The reversal of 6978864 is 4688796.

6978864 is nontrivially palindromic in base 15.

6978864 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a d-powerful number, because it can be written as 63 + 97 + 7 + 85 + 87 + 63 + 48 .

It is not an unprimeable number, because it can be changed into a prime (6978869) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 16447 + ... + 16865.

It is an arithmetic number, because the mean of its divisors is an integer number (453096).

Almost surely, 26978864 is an apocalyptic number.

It is an amenable number.

6978864 is an abundant number, since it is smaller than the sum of its proper divisors (11144976).

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

6978864 is a wasteful number, since it uses less digits than its factorization.

6978864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 777 (or 771 counting only the distinct ones).

The product of its digits is 580608, while the sum is 48.

The square root of 6978864 is about 2641.7539628058. The cubic root of 6978864 is about 191.1003922037.

The spelling of 6978864 in words is "six million, nine hundred seventy-eight thousand, eight hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 16 24 48 347 419 694 838 1041 1257 1388 1676 2082 2514 2776 3352 4164 5028 5552 6704 8328 10056 16656 20112 145393 290786 436179 581572 872358 1163144 1744716 2326288 3489432 6978864