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2484216 = 233373153
BaseRepresentation
bin1001011110011111111000
311200012201000
421132133320
51113443331
6125125000
730054420
oct11363770
94605630
102484216
111447479
129b9760
1368c967
14489480
153410e6
hex25e7f8

2484216 has 128 divisors (see below), whose sum is σ = 8294400. Its totient is φ = 673920.

The previous prime is 2484203. The next prime is 2484233. The reversal of 2484216 is 6124842.

It is a Harshad number since it is a multiple of its sum of digits (27).

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

Its product of digits (3072) is a multiple of the sum of its prime divisors (96).

It is a self number, because there is not a number n which added to its sum of digits gives 2484216.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 46846 + ... + 46898.

It is an arithmetic number, because the mean of its divisors is an integer number (64800).

22484216 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 2484216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4147200).

2484216 is an abundant number, since it is smaller than the sum of its proper divisors (5810184).

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

2484216 is a wasteful number, since it uses less digits than its factorization.

2484216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106 (or 96 counting only the distinct ones).

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

The square root of 2484216 is about 1576.1395877269. The cubic root of 2484216 is about 135.4346484786.

The spelling of 2484216 in words is "two million, four hundred eighty-four thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 31 36 42 53 54 56 62 63 72 84 93 106 108 124 126 159 168 186 189 212 216 217 248 252 279 318 371 372 378 424 434 477 504 558 636 651 742 744 756 837 868 954 1113 1116 1272 1302 1431 1484 1512 1643 1674 1736 1908 1953 2226 2232 2604 2862 2968 3286 3339 3348 3816 3906 4452 4929 5208 5724 5859 6572 6678 6696 7812 8904 9858 10017 11448 11501 11718 13144 13356 14787 15624 19716 20034 23002 23436 26712 29574 34503 39432 40068 44361 46004 46872 59148 69006 80136 88722 92008 103509 118296 138012 177444 207018 276024 310527 354888 414036 621054 828072 1242108 2484216