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1428532056 = 2332727110459
BaseRepresentation
bin101010100100101…
…1010101101011000
310200120000221120200
41111021122231120
510411201011211
6353430222200
750254215330
oct12511325530
93616027520
101428532056
11673407306
1233a4b4960
13199c5b553
14d7a1c0c0
158562db56
hex5525ab58

1428532056 has 96 divisors (see below), whose sum is σ = 4438387200. Its totient is φ = 406607040.

The previous prime is 1428532033. The next prime is 1428532067. The reversal of 1428532056 is 6502358241.

1428532056 is a `hidden beast` number, since 1 + 4 + 285 + 320 + 56 = 666.

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 1428532056.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 131355 + ... + 141813.

It is an arithmetic number, because the mean of its divisors is an integer number (46233200).

Almost surely, 21428532056 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 1428532056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2219193600).

1428532056 is an abundant number, since it is smaller than the sum of its proper divisors (3009855144).

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

1428532056 is a wasteful number, since it uses less digits than its factorization.

1428532056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10749 (or 10742 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The square root of 1428532056 is about 37795.9264471715. The cubic root of 1428532056 is about 1126.2375335844.

The spelling of 1428532056 in words is "one billion, four hundred twenty-eight million, five hundred thirty-two thousand, fifty-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 56 63 72 84 126 168 252 271 504 542 813 1084 1626 1897 2168 2439 3252 3794 4878 5691 6504 7588 9756 10459 11382 15176 17073 19512 20918 22764 31377 34146 41836 45528 62754 68292 73213 83672 94131 125508 136584 146426 188262 219639 251016 292852 376524 439278 585704 658917 753048 878556 1317834 1757112 2635668 2834389 5271336 5668778 8503167 11337556 17006334 19840723 22675112 25509501 34012668 39681446 51019002 59522169 68025336 79362892 102038004 119044338 158725784 178566507 204076008 238088676 357133014 476177352 714266028 1428532056