Search a number
-
+
2043041424 = 2431923173563
BaseRepresentation
bin111100111000110…
…0101011010010000
312021101100020221220
41321301211122100
513141004311144
6534421245040
7101425364664
oct17161453220
95241306856
102043041424
11959275296
12490263780
13267367368
141554a08a4
15be565919
hex79c65690

2043041424 has 160 divisors (see below), whose sum is σ = 5841054720. Its totient is φ = 612463104.

The previous prime is 2043041423. The next prime is 2043041461. The reversal of 2043041424 is 4241403402.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 2043041394 and 2043041403.

It is not an unprimeable number, because it can be changed into a prime (2043041423) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3628567 + ... + 3629129.

It is an arithmetic number, because the mean of its divisors is an integer number (36506592).

Almost surely, 22043041424 is an apocalyptic number.

2043041424 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2043041424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2920527360).

2043041424 is an abundant number, since it is smaller than the sum of its proper divisors (3798013296).

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

2043041424 is a wasteful number, since it uses less digits than its factorization.

2043041424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 789 (or 783 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

The square root of 2043041424 is about 45200.0157522096. The cubic root of 2043041424 is about 1268.8951111206.

Adding to 2043041424 its reverse (4241403402), we get a palindrome (6284444826).

The spelling of 2043041424 in words is "two billion, forty-three million, forty-one thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 16 19 23 24 38 46 48 57 69 76 92 114 138 152 173 184 228 276 304 346 368 437 456 519 552 563 692 874 912 1038 1104 1126 1311 1384 1689 1748 2076 2252 2622 2768 3287 3378 3496 3979 4152 4504 5244 6574 6756 6992 7958 8304 9008 9861 10488 10697 11937 12949 13148 13512 15916 19722 20976 21394 23874 25898 26296 27024 31832 32091 38847 39444 42788 47748 51796 52592 63664 64182 75601 77694 78888 85576 95496 97399 103592 128364 151202 155388 157776 171152 190992 194798 207184 226803 246031 256728 292197 302404 310776 389596 453606 492062 513456 584394 604808 621552 738093 779192 907212 984124 1168788 1209616 1476186 1558384 1814424 1850581 1968248 2240177 2337576 2952372 3628848 3701162 3936496 4480354 4675152 5551743 5904744 6720531 7402324 8960708 11103486 11809488 13441062 14804648 17921416 22206972 26882124 29609296 35842832 42563363 44413944 53764248 85126726 88827888 107528496 127690089 170253452 255380178 340506904 510760356 681013808 1021520712 2043041424