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4198416 = 243471861
BaseRepresentation
bin10000000001000000010000
321220022010220
4100001000100
52033322131
6225553040
750454165
oct20010020
97808126
104198416
112408372
1214a5780
13b3cc91
147b406c
1557de96
hex401010

4198416 has 40 divisors (see below), whose sum is σ = 11082624. Its totient is φ = 1368960.

The previous prime is 4198409. The next prime is 4198429. The reversal of 4198416 is 6148914.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (3) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1326 + ... + 3186.

Almost surely, 24198416 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 4198416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5541312).

4198416 is an abundant number, since it is smaller than the sum of its proper divisors (6884208).

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

4198416 is a wasteful number, since it uses less digits than its factorization.

4198416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1919 (or 1913 counting only the distinct ones).

The product of its digits is 6912, while the sum is 33.

The square root of 4198416 is about 2049.0036603188. The cubic root of 4198416 is about 161.3225789491.

The spelling of 4198416 in words is "four million, one hundred ninety-eight thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 12 16 24 47 48 94 141 188 282 376 564 752 1128 1861 2256 3722 5583 7444 11166 14888 22332 29776 44664 87467 89328 174934 262401 349868 524802 699736 1049604 1399472 2099208 4198416