Search a number
-
+
1428071424 = 21031335759
BaseRepresentation
bin101010100011110…
…1010010000000000
310200112011112201020
41111013222100000
510411041241144
6353412305440
750250256353
oct12507522000
93615145636
101428071424
1167312221a
1233a312280
13199b299a0
14d793c29a
158558c419
hex551ea400

1428071424 has 88 divisors (see below), whose sum is σ = 4099240320. Its totient is φ = 439394304.

The previous prime is 1428071401. The next prime is 1428071429. The reversal of 1428071424 is 4241708241.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1428071429) 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 7 ways as a sum of consecutive naturals, for example, 22057 + ... + 57815.

Almost surely, 21428071424 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 1428071424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2049620160).

1428071424 is an abundant number, since it is smaller than the sum of its proper divisors (2671168896).

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

1428071424 is a wasteful number, since it uses less digits than its factorization.

1428071424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35795 (or 35777 counting only the distinct ones).

The product of its (nonzero) digits is 14336, while the sum is 33.

The square root of 1428071424 is about 37789.8322833008. The cubic root of 1428071424 is about 1126.1164683235.

Adding to 1428071424 its reverse (4241708241), we get a palindrome (5669779665).

The spelling of 1428071424 in words is "one billion, four hundred twenty-eight million, seventy-one thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 64 78 96 104 128 156 192 208 256 312 384 416 512 624 768 832 1024 1248 1536 1664 2496 3072 3328 4992 6656 9984 13312 19968 35759 39936 71518 107277 143036 214554 286072 429108 464867 572144 858216 929734 1144288 1394601 1716432 1859468 2288576 2789202 3432864 3718936 4577152 5578404 6865728 7437872 9154304 11156808 13731456 14875744 18308608 22313616 27462912 29751488 36617216 44627232 54925824 59502976 89254464 109851648 119005952 178508928 238011904 357017856 476023808 714035712 1428071424