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4199316 = 22311291097
BaseRepresentation
bin10000000001001110010100
321220100101020
4100001032110
52033334231
6230001140
750456622
oct20011624
97810336
104199316
112409010
1214a61b0
13b40504
147b4512
1557e396
hex401394

4199316 has 48 divisors (see below), whose sum is σ = 11067840. Its totient is φ = 1227520.

The previous prime is 4199311. The next prime is 4199341. The reversal of 4199316 is 6139914.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4199311) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3280 + ... + 4376.

It is an arithmetic number, because the mean of its divisors is an integer number (230580).

Almost surely, 24199316 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 4199316, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5533920).

4199316 is an abundant number, since it is smaller than the sum of its proper divisors (6868524).

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

4199316 is a wasteful number, since it uses less digits than its factorization.

4199316 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1144 (or 1142 counting only the distinct ones).

The product of its digits is 5832, while the sum is 33.

The square root of 4199316 is about 2049.2232674845. The cubic root of 4199316 is about 161.3341055143.

The spelling of 4199316 in words is "four million, one hundred ninety-nine thousand, three hundred sixteen".

Divisors: 1 2 3 4 6 11 12 22 29 33 44 58 66 87 116 132 174 319 348 638 957 1097 1276 1914 2194 3291 3828 4388 6582 12067 13164 24134 31813 36201 48268 63626 72402 95439 127252 144804 190878 349943 381756 699886 1049829 1399772 2099658 4199316