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4198400 = 2125241
BaseRepresentation
bin10000000001000000000000
321220022010022
4100001000000
52033322100
6225553012
750454143
oct20010000
97808108
104198400
112408358
1214a5768
13b3cc7b
147b405a
1557de85
hex401000

4198400 has 78 divisors (see below), whose sum is σ = 10664682. Its totient is φ = 1638400.

The previous prime is 4198379. The next prime is 4198409. The reversal of 4198400 is 48914.

4198400 = T567 + T568 + ... + T591.

It is a Cunningham number, because it is equal to 20492-1.

It can be written as a sum of positive squares in 3 ways, for example, as 4096 + 4194304 = 64^2 + 2048^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 4198400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4198409) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (2) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 102380 + ... + 102420.

Almost surely, 24198400 is an apocalyptic number.

4198400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4198400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5332341).

4198400 is an abundant number, since it is smaller than the sum of its proper divisors (6466282).

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

4198400 is an equidigital number, since it uses as much as digits as its factorization.

4198400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75 (or 48 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 26.

The square root of 4198400 is about 2048.9997559785. Note that the first 3 decimals coincide. The cubic root of 4198400 is about 161.3223740174.

The spelling of 4198400 in words is "four million, one hundred ninety-eight thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 41 50 64 80 82 100 128 160 164 200 205 256 320 328 400 410 512 640 656 800 820 1024 1025 1280 1312 1600 1640 2048 2050 2560 2624 3200 3280 4096 4100 5120 5248 6400 6560 8200 10240 10496 12800 13120 16400 20480 20992 25600 26240 32800 41984 51200 52480 65600 83968 102400 104960 131200 167936 209920 262400 419840 524800 839680 1049600 2099200 4198400