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4202268 = 2237192633
BaseRepresentation
bin10000000001111100011100
321220111102120
4100001330130
52033433033
6230022540
750501340
oct20017434
97814376
104202268
112410254
1214a7a50
13b41965
147b5620
155801b3
hex401f1c

4202268 has 48 divisors (see below), whose sum is σ = 11800320. Its totient is φ = 1137024.

The previous prime is 4202257. The next prime is 4202269. The reversal of 4202268 is 8622024.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4202269) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 280 + ... + 2912.

It is an arithmetic number, because the mean of its divisors is an integer number (245840).

Almost surely, 24202268 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 4202268, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5900160).

4202268 is an abundant number, since it is smaller than the sum of its proper divisors (7598052).

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

4202268 is a wasteful number, since it uses less digits than its factorization.

4202268 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2666 (or 2664 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

The square root of 4202268 is about 2049.9434138532. The cubic root of 4202268 is about 161.3719010921.

The spelling of 4202268 in words is "four million, two hundred two thousand, two hundred sixty-eight".

Divisors: 1 2 3 4 6 7 12 14 19 21 28 38 42 57 76 84 114 133 228 266 399 532 798 1596 2633 5266 7899 10532 15798 18431 31596 36862 50027 55293 73724 100054 110586 150081 200108 221172 300162 350189 600324 700378 1050567 1400756 2101134 4202268