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6424416 = 253222307
BaseRepresentation
bin11000100000011101100000
3110002101122100
4120200131200
53121040131
6345410400
7105415035
oct30403540
913071570
106424416
113698839
122199a00
13143c23b
14bd338c
1586d7e6
hex620760

6424416 has 36 divisors (see below), whose sum is σ = 18270252. Its totient is φ = 2141376.

The previous prime is 6424381. The next prime is 6424423. The reversal of 6424416 is 6144246.

6424416 is a `hidden beast` number, since 642 + 4 + 4 + 16 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 6424416.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 10866 + ... + 11441.

It is an arithmetic number, because the mean of its divisors is an integer number (507507).

Almost surely, 26424416 is an apocalyptic number.

It is an amenable number.

6424416 is an abundant number, since it is smaller than the sum of its proper divisors (11845836).

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

6424416 is a wasteful number, since it uses less digits than its factorization.

6424416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22323 (or 22312 counting only the distinct ones).

The product of its digits is 4608, while the sum is 27.

The square root of 6424416 is about 2534.6431701524. The cubic root of 6424416 is about 185.8993558880.

The spelling of 6424416 in words is "six million, four hundred twenty-four thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 22307 44614 66921 89228 133842 178456 200763 267684 356912 401526 535368 713824 803052 1070736 1606104 2141472 3212208 6424416