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2538396 = 2232721439
BaseRepresentation
bin1001101011101110011100
311202222000200
421223232130
51122212041
6130223500
730401400
oct11535634
94688020
102538396
111484153
12a24b90
136ab513
144a1100
153521b6
hex26bb9c

2538396 has 54 divisors (see below), whose sum is σ = 7469280. Its totient is φ = 724752.

The previous prime is 2538377. The next prime is 2538397. The reversal of 2538396 is 6938352.

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

It is an Ulam number.

It is a d-powerful number, because it can be written as 2 + 59 + 39 + 85 + 312 + 92 + 64 .

It is a self number, because there is not a number n which added to its sum of digits gives 2538396.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2538397) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 1045 + ... + 2483.

It is an arithmetic number, because the mean of its divisors is an integer number (138320).

22538396 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 2538396, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3734640).

2538396 is an abundant number, since it is smaller than the sum of its proper divisors (4930884).

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

2538396 is a wasteful number, since it uses less digits than its factorization.

2538396 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1463 (or 1451 counting only the distinct ones).

The product of its digits is 38880, while the sum is 36.

The square root of 2538396 is about 1593.2344460248. The cubic root of 2538396 is about 136.4121722983.

It can be divided in two parts, 253 and 8396, that added together give a square (8649 = 932).

The spelling of 2538396 in words is "two million, five hundred thirty-eight thousand, three hundred ninety-six".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 49 63 84 98 126 147 196 252 294 441 588 882 1439 1764 2878 4317 5756 8634 10073 12951 17268 20146 25902 30219 40292 51804 60438 70511 90657 120876 141022 181314 211533 282044 362628 423066 634599 846132 1269198 2538396