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4214288 = 241320261
BaseRepresentation
bin10000000100111000010000
321221002220202
4100010320100
52034324123
6230154332
750551361
oct20047020
97832822
104214288
112419291
1214b29a8
13b47280
147b9b68
15583a28
hex404e10

4214288 has 20 divisors (see below), whose sum is σ = 8793708. Its totient is φ = 1944960.

The previous prime is 4214281. The next prime is 4214291. The reversal of 4214288 is 8824124.

It can be written as a sum of positive squares in 2 ways, for example, as 262144 + 3952144 = 512^2 + 1988^2 .

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 4214288.

It is not an unprimeable number, because it can be changed into a prime (4214281) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 9923 + ... + 10338.

Almost surely, 24214288 is an apocalyptic number.

It is an amenable number.

4214288 is an abundant number, since it is smaller than the sum of its proper divisors (4579420).

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

4214288 is a wasteful number, since it uses less digits than its factorization.

4214288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20282 (or 20276 counting only the distinct ones).

The product of its digits is 4096, while the sum is 29.

The square root of 4214288 is about 2052.8731085968. The cubic root of 4214288 is about 161.5256152119.

The spelling of 4214288 in words is "four million, two hundred fourteen thousand, two hundred eighty-eight".

Divisors: 1 2 4 8 13 16 26 52 104 208 20261 40522 81044 162088 263393 324176 526786 1053572 2107144 4214288