Search a number
-
+
1428652188 = 2233173372309
BaseRepresentation
bin101010100100111…
…1000000010011100
310200120021001101000
41111021320002130
510411213332223
6353432550300
750255225505
oct12511700234
93616231330
101428652188
11673489597
1233a552390
13199ca1132
14d7a4dbac
1585654543
hex5527809c

1428652188 has 96 divisors (see below), whose sum is σ = 3935131200. Its totient is φ = 446681088.

The previous prime is 1428652139. The next prime is 1428652193. The reversal of 1428652188 is 8812568241.

1428652188 is a `hidden beast` number, since 1 + 42 + 8 + 6 + 521 + 88 = 666.

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 31 ways as a sum of consecutive naturals, for example, 617578 + ... + 619886.

It is an arithmetic number, because the mean of its divisors is an integer number (40990950).

Almost surely, 21428652188 is an apocalyptic number.

1428652188 is a gapful number since it is divisible by the number (18) 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 1428652188, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1967565600).

1428652188 is an abundant number, since it is smaller than the sum of its proper divisors (2506479012).

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

1428652188 is a wasteful number, since it uses less digits than its factorization.

1428652188 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2676 (or 2668 counting only the distinct ones).

The product of its digits is 245760, while the sum is 45.

The square root of 1428652188 is about 37797.5156326444. The cubic root of 1428652188 is about 1126.2691029086.

The spelling of 1428652188 in words is "one billion, four hundred twenty-eight million, six hundred fifty-two thousand, one hundred eighty-eight".

Divisors: 1 2 3 4 6 9 12 17 18 27 34 36 51 54 68 102 108 153 204 306 337 459 612 674 918 1011 1348 1836 2022 2309 3033 4044 4618 5729 6066 6927 9099 9236 11458 12132 13854 17187 18198 20781 22916 27708 34374 36396 39253 41562 51561 62343 68748 78506 83124 103122 117759 124686 154683 157012 206244 235518 249372 309366 353277 471036 618732 706554 778133 1059831 1413108 1556266 2119662 2334399 3112532 4239324 4668798 7003197 9337596 13228261 14006394 21009591 26456522 28012788 39684783 42019182 52913044 79369566 84038364 119054349 158739132 238108698 357163047 476217396 714326094 1428652188