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3999216 = 2431321729
BaseRepresentation
bin1111010000010111110000
321112011220010
433100113300
52010433331
6221414520
745664344
oct17202760
97464803
103999216
112291741
12140a440
13aa0400
14761624
1553ee46
hex3d05f0

3999216 has 120 divisors (see below), whose sum is σ = 12253680. Its totient is φ = 1118208.

The previous prime is 3999211. The next prime is 3999239. The reversal of 3999216 is 6129993.

It is a happy number.

3999216 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×39992162 = 31987457229312, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3999211) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 137890 + ... + 137918.

It is an arithmetic number, because the mean of its divisors is an integer number (102114).

Almost surely, 23999216 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 3999216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6126840).

3999216 is an abundant number, since it is smaller than the sum of its proper divisors (8254464).

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

3999216 is a wasteful number, since it uses less digits than its factorization.

3999216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83 (or 64 counting only the distinct ones).

The product of its digits is 26244, while the sum is 39.

The square root of 3999216 is about 1999.8039903951. The cubic root of 3999216 is about 158.7297334990.

The spelling of 3999216 in words is "three million, nine hundred ninety-nine thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 12 13 16 17 24 26 29 34 39 48 51 52 58 68 78 87 102 104 116 136 156 169 174 204 208 221 232 272 312 338 348 377 408 442 464 493 507 624 663 676 696 754 816 884 986 1014 1131 1326 1352 1392 1479 1508 1768 1972 2028 2262 2652 2704 2873 2958 3016 3536 3944 4056 4524 4901 5304 5746 5916 6032 6409 7888 8112 8619 9048 9802 10608 11492 11832 12818 14703 17238 18096 19227 19604 22984 23664 25636 29406 34476 38454 39208 45968 51272 58812 68952 76908 78416 83317 102544 117624 137904 153816 166634 235248 249951 307632 333268 499902 666536 999804 1333072 1999608 3999216