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2439216 = 2432131303
BaseRepresentation
bin1001010011100000110000
311120220222100
421103200300
51111023331
6124140400
726506263
oct11234060
94526870
102439216
11141668a
12997700
13675330
14476cda
15332ae6
hex253830

2439216 has 60 divisors (see below), whose sum is σ = 7357168. Its totient is φ = 749952.

The previous prime is 2439197. The next prime is 2439221. The reversal of 2439216 is 6129342.

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

It is a nialpdrome in base 12.

It is a zygodrome in base 12.

It is a self number, because there is not a number n which added to its sum of digits gives 2439216.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1221 + ... + 2523.

22439216 is an apocalyptic number.

2439216 is a gapful number since it is divisible by the number (26) 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 2439216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3678584).

2439216 is an abundant number, since it is smaller than the sum of its proper divisors (4917952).

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

2439216 is a wasteful number, since it uses less digits than its factorization.

2439216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1330 (or 1321 counting only the distinct ones).

The product of its digits is 2592, while the sum is 27.

The square root of 2439216 is about 1561.7989627350. The cubic root of 2439216 is about 134.6118894079.

The spelling of 2439216 in words is "two million, four hundred thirty-nine thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 36 39 48 52 72 78 104 117 144 156 208 234 312 468 624 936 1303 1872 2606 3909 5212 7818 10424 11727 15636 16939 20848 23454 31272 33878 46908 50817 62544 67756 93816 101634 135512 152451 187632 203268 271024 304902 406536 609804 813072 1219608 2439216