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4218968 = 2313113359
BaseRepresentation
bin10000000110000001011000
321221100100002
4100012001120
52040001333
6230232132
750601125
oct20060130
97840302
104218968
112421856
1214b5648
13b49440
147bb74c
155850e8
hex406058

4218968 has 32 divisors (see below), whose sum is σ = 8618400. Its totient is φ = 1924608.

The previous prime is 4218967. The next prime is 4218971. The reversal of 4218968 is 8698124.

It is a d-powerful number, because it can be written as 47 + 222 + 1 + 84 + 92 + 6 + 84 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4218961) 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, 11573 + ... + 11931.

It is an arithmetic number, because the mean of its divisors is an integer number (269325).

Almost surely, 24218968 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 4218968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4309200).

4218968 is an abundant number, since it is smaller than the sum of its proper divisors (4399432).

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

4218968 is a wasteful number, since it uses less digits than its factorization.

4218968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 491 (or 487 counting only the distinct ones).

The product of its digits is 27648, while the sum is 38.

The square root of 4218968 is about 2054.0126581888. The cubic root of 4218968 is about 161.5853849149.

The spelling of 4218968 in words is "four million, two hundred eighteen thousand, nine hundred sixty-eight".

Divisors: 1 2 4 8 13 26 52 104 113 226 359 452 718 904 1436 1469 2872 2938 4667 5876 9334 11752 18668 37336 40567 81134 162268 324536 527371 1054742 2109484 4218968