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4216248 = 2332311889
BaseRepresentation
bin10000000101010110111000
321221012121100
4100011112320
52034404443
6230211400
750560161
oct20052670
97835540
104216248
11241a803
1214b3b60
13b4812a
147ba768
155843d3
hex4055b8

4216248 has 48 divisors (see below), whose sum is σ = 11793600. Its totient is φ = 1359360.

The previous prime is 4216241. The next prime is 4216283. The reversal of 4216248 is 8426124.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4216241) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1288 + ... + 3176.

It is an arithmetic number, because the mean of its divisors is an integer number (245700).

Almost surely, 24216248 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 4216248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5896800).

4216248 is an abundant number, since it is smaller than the sum of its proper divisors (7577352).

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

4216248 is a wasteful number, since it uses less digits than its factorization.

4216248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1932 (or 1925 counting only the distinct ones).

The product of its digits is 3072, while the sum is 27.

The square root of 4216248 is about 2053.3504328292. The cubic root of 4216248 is about 161.5506523505.

It can be divided in two parts, 42 and 16248, that added together give a triangular number (16290 = T180).

The spelling of 4216248 in words is "four million, two hundred sixteen thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 31 36 62 72 93 124 186 248 279 372 558 744 1116 1889 2232 3778 5667 7556 11334 15112 17001 22668 34002 45336 58559 68004 117118 136008 175677 234236 351354 468472 527031 702708 1054062 1405416 2108124 4216248