Search a number
-
+
2538096 = 2431121923
BaseRepresentation
bin1001101011101001110000
311202221121120
421223221300
51122204341
6130222240
730400461
oct11535160
94687546
102538096
111483a00
12a24980
136ab342
144a0d68
15352066
hex26ba70

2538096 has 120 divisors (see below), whose sum is σ = 7916160. Its totient is φ = 696960.

The previous prime is 2538091. The next prime is 2538097. The reversal of 2538096 is 6908352.

It is a happy number.

2538096 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 (33).

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2538091) 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, 110341 + ... + 110363.

It is an arithmetic number, because the mean of its divisors is an integer number (65968).

22538096 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 2538096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3958080).

2538096 is an abundant number, since it is smaller than the sum of its proper divisors (5378064).

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

2538096 is a wasteful number, since it uses less digits than its factorization.

2538096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75 (or 58 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 33.

The square root of 2538096 is about 1593.1402951404. The cubic root of 2538096 is about 136.4067981350.

The spelling of 2538096 in words is "two million, five hundred thirty-eight thousand, ninety-six".

Divisors: 1 2 3 4 6 8 11 12 16 19 22 23 24 33 38 44 46 48 57 66 69 76 88 92 114 121 132 138 152 176 184 209 228 242 253 264 276 304 363 368 418 437 456 484 506 528 552 627 726 759 836 874 912 968 1012 1104 1254 1311 1452 1518 1672 1748 1936 2024 2299 2508 2622 2783 2904 3036 3344 3496 4048 4598 4807 5016 5244 5566 5808 6072 6897 6992 8349 9196 9614 10032 10488 11132 12144 13794 14421 16698 18392 19228 20976 22264 27588 28842 33396 36784 38456 44528 52877 55176 57684 66792 76912 105754 110352 115368 133584 158631 211508 230736 317262 423016 634524 846032 1269048 2538096