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4194112 = 2613712
BaseRepresentation
bin1111111111111101000000
321220002020111
433333331000
52033202422
6225521104
750435506
oct17777500
97802214
104194112
11240510a
1214a3194
13b3b030
147b2676
1557ca77
hex3fff40

4194112 has 42 divisors (see below), whose sum is σ = 9090914. Its totient is φ = 1908480.

The previous prime is 4194107. The next prime is 4194131. The reversal of 4194112 is 2114914.

It can be written as a sum of positive squares in only one way, i.e., 2903616 + 1290496 = 1704^2 + 1136^2 .

It is a nialpdrome in base 4.

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, 59037 + ... + 59107.

Almost surely, 24194112 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 4194112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4545457).

4194112 is an abundant number, since it is smaller than the sum of its proper divisors (4896802).

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

4194112 is an equidigital number, since it uses as much as digits as its factorization.

4194112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 167 (or 86 counting only the distinct ones).

The product of its digits is 288, while the sum is 22.

The square root of 4194112 is about 2047.9531244635. The cubic root of 4194112 is about 161.2674335657.

The spelling of 4194112 in words is "four million, one hundred ninety-four thousand, one hundred twelve".

Divisors: 1 2 4 8 13 16 26 32 52 64 71 104 142 208 284 416 568 832 923 1136 1846 2272 3692 4544 5041 7384 10082 14768 20164 29536 40328 59072 65533 80656 131066 161312 262132 322624 524264 1048528 2097056 4194112