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1428299472 = 243175633109
BaseRepresentation
bin101010100100010…
…0001111011010000
310200112121010112110
41111020201323100
510411121040342
6353421225320
750252226255
oct12510417320
93615533473
101428299472
11673268596
1233a402240
13199ba9722
14d799b42c
15855d4c9c
hex55221ed0

1428299472 has 80 divisors (see below), whose sum is σ = 3915017280. Its totient is φ = 447154176.

The previous prime is 1428299461. The next prime is 1428299519. The reversal of 1428299472 is 2749928241.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 457854 + ... + 460962.

It is an arithmetic number, because the mean of its divisors is an integer number (48937716).

Almost surely, 21428299472 is an apocalyptic number.

1428299472 is a gapful number since it is divisible by the number (12) 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 1428299472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1957508640).

1428299472 is an abundant number, since it is smaller than the sum of its proper divisors (2486717808).

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

1428299472 is a wasteful number, since it uses less digits than its factorization.

1428299472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3700 (or 3694 counting only the distinct ones).

The product of its digits is 580608, while the sum is 48.

The square root of 1428299472 is about 37792.8494824087. The cubic root of 1428299472 is about 1126.1764081219.

The spelling of 1428299472 in words is "one billion, four hundred twenty-eight million, two hundred ninety-nine thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 16 17 24 34 48 51 68 102 136 204 272 408 563 816 1126 1689 2252 3109 3378 4504 6218 6756 9008 9327 9571 12436 13512 18654 19142 24872 27024 28713 37308 38284 49744 52853 57426 74616 76568 105706 114852 149232 153136 158559 211412 229704 317118 422824 459408 634236 845648 1268472 1750367 2536944 3500734 5251101 7001468 10502202 14002936 21004404 28005872 29756239 42008808 59512478 84017616 89268717 119024956 178537434 238049912 357074868 476099824 714149736 1428299472