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2988216 = 233273112
BaseRepresentation
bin1011011001100010111000
312121211001200
423121202320
51231110331
6144014200
734254000
oct13314270
95554050
102988216
111761100
121001360
1380819a
1457b000
153e05e6
hex2d98b8

2988216 has 144 divisors (see below), whose sum is σ = 10374000. Its totient is φ = 776160.

The previous prime is 2988191. The next prime is 2988233. The reversal of 2988216 is 6128892.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

2988216 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

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

It is a congruent number.

It is an unprimeable number.

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 35 ways as a sum of consecutive naturals, for example, 271651 + ... + 271661.

22988216 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 2988216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5187000).

2988216 is an abundant number, since it is smaller than the sum of its proper divisors (7385784).

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

2988216 is a wasteful number, since it uses less digits than its factorization.

2988216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55 (or 23 counting only the distinct ones).

The product of its digits is 13824, while the sum is 36.

The square root of 2988216 is about 1728.6457126896. The cubic root of 2988216 is about 144.0358706934.

The spelling of 2988216 in words is "two million, nine hundred eighty-eight thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 7 8 9 11 12 14 18 21 22 24 28 33 36 42 44 49 56 63 66 72 77 84 88 98 99 121 126 132 147 154 168 196 198 231 242 252 264 294 308 343 363 392 396 441 462 484 504 539 588 616 686 693 726 792 847 882 924 968 1029 1078 1089 1176 1372 1386 1452 1617 1694 1764 1848 2058 2156 2178 2541 2744 2772 2904 3087 3234 3388 3528 3773 4116 4312 4356 4851 5082 5544 5929 6174 6468 6776 7546 7623 8232 8712 9702 10164 11319 11858 12348 12936 15092 15246 17787 19404 20328 22638 23716 24696 30184 30492 33957 35574 38808 41503 45276 47432 53361 60984 67914 71148 83006 90552 106722 124509 135828 142296 166012 213444 249018 271656 332024 373527 426888 498036 747054 996072 1494108 2988216