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2684472 = 233719292
BaseRepresentation
bin1010001111011000111000
312001101101220
422033120320
51141400342
6133312040
731550310
oct12173070
95041356
102684472
11157397a
12a95620
1372cb5b
144dc440
153805ec
hex28f638

2684472 has 96 divisors (see below), whose sum is σ = 8361600. Its totient is φ = 701568.

The previous prime is 2684471. The next prime is 2684477. The reversal of 2684472 is 2744862.

2684472 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2684471) 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, 92554 + ... + 92582.

It is an arithmetic number, because the mean of its divisors is an integer number (87100).

22684472 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 2684472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4180800).

2684472 is an abundant number, since it is smaller than the sum of its proper divisors (5677128).

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

2684472 is a wasteful number, since it uses less digits than its factorization.

2684472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93 (or 60 counting only the distinct ones).

The product of its digits is 21504, while the sum is 33.

The square root of 2684472 is about 1638.4358394518. The cubic root of 2684472 is about 138.9802086964.

The spelling of 2684472 in words is "two million, six hundred eighty-four thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 7 8 12 14 19 21 24 28 29 38 42 56 57 58 76 84 87 114 116 133 152 168 174 203 228 232 266 348 399 406 456 532 551 609 696 798 812 841 1064 1102 1218 1596 1624 1653 1682 2204 2436 2523 3192 3306 3364 3857 4408 4872 5046 5887 6612 6728 7714 10092 11571 11774 13224 15428 15979 17661 20184 23142 23548 30856 31958 35322 46284 47096 47937 63916 70644 92568 95874 111853 127832 141288 191748 223706 335559 383496 447412 671118 894824 1342236 2684472