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6409956 = 2237137557
BaseRepresentation
bin11000011100111011100100
3110001122210210
4120130323210
53120104311
6345215420
7105324630
oct30347344
913048723
106409956
113688993
122191570
131435797
14bcbdc0
158693a6
hex61cee4

6409956 has 48 divisors (see below), whose sum is σ = 17248896. Its totient is φ = 1814784.

The previous prime is 6409943. The next prime is 6410009. The reversal of 6409956 is 6599046.

6409956 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11230 + ... + 11786.

It is an arithmetic number, because the mean of its divisors is an integer number (359352).

Almost surely, 26409956 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 6409956, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8624448).

6409956 is an abundant number, since it is smaller than the sum of its proper divisors (10838940).

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

6409956 is a wasteful number, since it uses less digits than its factorization.

6409956 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 708 (or 706 counting only the distinct ones).

The product of its (nonzero) digits is 58320, while the sum is 39.

The square root of 6409956 is about 2531.7890907420. The cubic root of 6409956 is about 185.7597777538.

The spelling of 6409956 in words is "six million, four hundred nine thousand, nine hundred fifty-six".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 84 137 274 411 548 557 822 959 1114 1644 1671 1918 2228 2877 3342 3836 3899 5754 6684 7798 11508 11697 15596 23394 46788 76309 152618 228927 305236 457854 534163 915708 1068326 1602489 2136652 3204978 6409956