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4214368 = 251761127
BaseRepresentation
bin10000000100111001100000
321221010000201
4100010321200
52034324433
6230154544
750551534
oct20047140
97833021
104214368
112419354
1214b2a54
13b47312
147b9bc4
15583a7d
hex404e60

4214368 has 48 divisors (see below), whose sum is σ = 8999424. Its totient is φ = 1935360.

The previous prime is 4214323. The next prime is 4214377. The reversal of 4214368 is 8634124.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 33121 + ... + 33247.

It is an arithmetic number, because the mean of its divisors is an integer number (187488).

Almost surely, 24214368 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 4214368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4499712).

4214368 is an abundant number, since it is smaller than the sum of its proper divisors (4785056).

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

4214368 is a wasteful number, since it uses less digits than its factorization.

4214368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 215 (or 207 counting only the distinct ones).

The product of its digits is 4608, while the sum is 28.

The square root of 4214368 is about 2052.8925933911. The cubic root of 4214368 is about 161.5266372879.

The spelling of 4214368 in words is "four million, two hundred fourteen thousand, three hundred sixty-eight".

Divisors: 1 2 4 8 16 17 32 34 61 68 122 127 136 244 254 272 488 508 544 976 1016 1037 1952 2032 2074 2159 4064 4148 4318 7747 8296 8636 15494 16592 17272 30988 33184 34544 61976 69088 123952 131699 247904 263398 526796 1053592 2107184 4214368