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4212288 = 263271103
BaseRepresentation
bin10000000100011001000000
321221000011200
4100010121000
52034243123
6230141200
750542503
oct20043100
97830150
104212288
112417833
1214b1800
13b463a2
147b913a
15583143
hex404640

4212288 has 84 divisors (see below), whose sum is σ = 12362688. Its totient is φ = 1370880.

The previous prime is 4212287. The next prime is 4212317. The reversal of 4212288 is 8822124.

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

It is not an unprimeable number, because it can be changed into a prime (4212283) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 40845 + ... + 40947.

Almost surely, 24212288 is an apocalyptic number.

4212288 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4212288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6181344).

4212288 is an abundant number, since it is smaller than the sum of its proper divisors (8150400).

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

4212288 is a wasteful number, since it uses less digits than its factorization.

4212288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 192 (or 179 counting only the distinct ones).

The product of its digits is 2048, while the sum is 27.

The square root of 4212288 is about 2052.3859286206. The cubic root of 4212288 is about 161.5000591079.

The spelling of 4212288 in words is "four million, two hundred twelve thousand, two hundred eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 71 72 96 103 142 144 192 206 213 284 288 309 412 426 568 576 618 639 824 852 927 1136 1236 1278 1648 1704 1854 2272 2472 2556 3296 3408 3708 4544 4944 5112 6592 6816 7313 7416 9888 10224 13632 14626 14832 19776 20448 21939 29252 29664 40896 43878 58504 59328 65817 87756 117008 131634 175512 234016 263268 351024 468032 526536 702048 1053072 1404096 2106144 4212288