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6561424 = 242979179
BaseRepresentation
bin11001000001111010010000
3110100100120201
4121001322100
53134431144
6352344544
7106525342
oct31017220
913310521
106561424
113781771
122245154
1314896cc
14c2b292
158991d4
hex641e90

6561424 has 40 divisors (see below), whose sum is σ = 13392000. Its totient is φ = 3110016.

The previous prime is 6561383. The next prime is 6561427. The reversal of 6561424 is 4241656.

It is a junction number, because it is equal to n+sod(n) for n = 6561392 and 6561401.

It is not an unprimeable number, because it can be changed into a prime (6561427) 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, 36567 + ... + 36745.

It is an arithmetic number, because the mean of its divisors is an integer number (334800).

Almost surely, 26561424 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 6561424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6696000).

6561424 is an abundant number, since it is smaller than the sum of its proper divisors (6830576).

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

6561424 is a wasteful number, since it uses less digits than its factorization.

6561424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 295 (or 289 counting only the distinct ones).

The product of its digits is 5760, while the sum is 28.

The square root of 6561424 is about 2561.5276691849. The cubic root of 6561424 is about 187.2115767063.

It can be divided in two parts, 656 and 1424, that added together give a triangular number (2080 = T64).

The spelling of 6561424 in words is "six million, five hundred sixty-one thousand, four hundred twenty-four".

Divisors: 1 2 4 8 16 29 58 79 116 158 179 232 316 358 464 632 716 1264 1432 2291 2864 4582 5191 9164 10382 14141 18328 20764 28282 36656 41528 56564 83056 113128 226256 410089 820178 1640356 3280712 6561424