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1428312096 = 25336412579
BaseRepresentation
bin101010100100010…
…0101000000100000
310200112121202212000
41111020211000200
510411121441341
6353421404000
750252311131
oct12510450040
93615552760
101428312096
11673277022
1233a409600
13199bb23b3
14d79a1c88
15855d88b6
hex55225020

1428312096 has 96 divisors (see below), whose sum is σ = 4174027200. Its totient is φ = 475176960.

The previous prime is 1428312079. The next prime is 1428312163. The reversal of 1428312096 is 6902138241.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is a self number, because there is not a number n which added to its sum of digits gives 1428312096.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 552535 + ... + 555113.

It is an arithmetic number, because the mean of its divisors is an integer number (43479450).

Almost surely, 21428312096 is an apocalyptic number.

1428312096 is a gapful number since it is divisible by the number (16) 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 1428312096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2087013600).

1428312096 is an abundant number, since it is smaller than the sum of its proper divisors (2745715104).

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

1428312096 is a wasteful number, since it uses less digits than its factorization.

1428312096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3239 (or 3225 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 1428312096 is about 37793.0164977605. The cubic root of 1428312096 is about 1126.1797260089.

The spelling of 1428312096 in words is "one billion, four hundred twenty-eight million, three hundred twelve thousand, ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 96 108 144 216 288 432 641 864 1282 1923 2564 2579 3846 5128 5158 5769 7692 7737 10256 10316 11538 15384 15474 17307 20512 20632 23076 23211 30768 30948 34614 41264 46152 46422 61536 61896 69228 69633 82528 92304 92844 123792 138456 139266 184608 185688 247584 276912 278532 371376 553824 557064 742752 1114128 1653139 2228256 3306278 4959417 6612556 9918834 13225112 14878251 19837668 26450224 29756502 39675336 44634753 52900448 59513004 79350672 89269506 119026008 158701344 178539012 238052016 357078024 476104032 714156048 1428312096