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4212414 = 23219109113
BaseRepresentation
bin10000000100011010111110
321221000100100
4100010122332
52034244124
6230141530
750543043
oct20043276
97830310
104212414
112417938
1214b18a6
13b4646b
147b91ca
155831c9
hex4046be

4212414 has 48 divisors (see below), whose sum is σ = 9781200. Its totient is φ = 1306368.

The previous prime is 4212401. The next prime is 4212421. The reversal of 4212414 is 4142124.

4212414 is a `hidden beast` number, since 421 + 241 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 37222 + ... + 37334.

It is an arithmetic number, because the mean of its divisors is an integer number (203775).

Almost surely, 24212414 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4212414, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4890600).

4212414 is an abundant number, since it is smaller than the sum of its proper divisors (5568786).

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

4212414 is a wasteful number, since it uses less digits than its factorization.

4212414 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 249 (or 246 counting only the distinct ones).

The product of its digits is 256, while the sum is 18.

The square root of 4212414 is about 2052.4166243724. The cubic root of 4212414 is about 161.5016693812.

Adding to 4212414 its reverse (4142124), we get a palindrome (8354538).

The spelling of 4212414 in words is "four million, two hundred twelve thousand, four hundred fourteen".

Divisors: 1 2 3 6 9 18 19 38 57 109 113 114 171 218 226 327 339 342 654 678 981 1017 1962 2034 2071 2147 4142 4294 6213 6441 12317 12426 12882 18639 19323 24634 36951 37278 38646 73902 110853 221706 234023 468046 702069 1404138 2106207 4212414