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4023216 = 243367139
BaseRepresentation
bin1111010110001110110000
321120101211000
433112032300
52012220331
6222122000
746124331
oct17261660
97511730
104023216
1122a877a
121420300
13aab302
1476a288
155470e6
hex3d63b0

4023216 has 80 divisors (see below), whose sum is σ = 11804800. Its totient is φ = 1311552.

The previous prime is 4023191. The next prime is 4023221. The reversal of 4023216 is 6123204.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 28875 + ... + 29013.

It is an arithmetic number, because the mean of its divisors is an integer number (147560).

Almost surely, 24023216 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 4023216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5902400).

4023216 is an abundant number, since it is smaller than the sum of its proper divisors (7781584).

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

4023216 is a wasteful number, since it uses less digits than its factorization.

4023216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 223 (or 211 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 4023216 is about 2005.7956027472. The cubic root of 4023216 is about 159.0466221415.

The spelling of 4023216 in words is "four million, twenty-three thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 67 72 108 134 139 144 201 216 268 278 402 417 432 536 556 603 804 834 1072 1112 1206 1251 1608 1668 1809 2224 2412 2502 3216 3336 3618 3753 4824 5004 6672 7236 7506 9313 9648 10008 14472 15012 18626 20016 27939 28944 30024 37252 55878 60048 74504 83817 111756 149008 167634 223512 251451 335268 447024 502902 670536 1005804 1341072 2011608 4023216