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1428981642 = 2331131711093
BaseRepresentation
bin101010100101100…
…1000011110001010
310200120212210022000
41111023020132022
510411304403032
6353444011430
750261100144
oct12513103612
93616783260
101428981642
11673694070
1233a690b76
1319a08808a
14d7ad7c94
15856bbe7c
hex552c878a

1428981642 has 128 divisors (see below), whose sum is σ = 3629629440. Its totient is φ = 412776000.

The previous prime is 1428981629. The next prime is 1428981649. The reversal of 1428981642 is 2461898241.

It is not an unprimeable number, because it can be changed into a prime (1428981649) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1306848 + ... + 1307940.

It is an arithmetic number, because the mean of its divisors is an integer number (28356480).

Almost surely, 21428981642 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1428981642, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1814814720).

1428981642 is an abundant number, since it is smaller than the sum of its proper divisors (2200647798).

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

1428981642 is a wasteful number, since it uses less digits than its factorization.

1428981642 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1217 (or 1211 counting only the distinct ones).

The product of its digits is 221184, while the sum is 45.

The square root of 1428981642 is about 37801.8735249987. The cubic root of 1428981642 is about 1126.3556705947.

The spelling of 1428981642 in words is "one billion, four hundred twenty-eight million, nine hundred eighty-one thousand, six hundred forty-two".

Divisors: 1 2 3 6 9 11 18 22 27 31 33 54 62 66 71 93 99 142 186 198 213 279 297 341 426 558 594 639 682 781 837 1023 1093 1278 1562 1674 1917 2046 2186 2201 2343 3069 3279 3834 4402 4686 6138 6558 6603 7029 9207 9837 12023 13206 14058 18414 19674 19809 21087 24046 24211 29511 33883 36069 39618 42174 48422 59022 59427 67766 72138 72633 77603 101649 108207 118854 145266 155206 203298 216414 217899 232809 304947 324621 372713 435798 465618 609894 649242 653697 698427 745426 853633 914841 1118139 1307394 1396854 1707266 1829682 2095281 2236278 2405693 2560899 3354417 4190562 4811386 5121798 6708834 7217079 7682697 10063251 14434158 15365394 20126502 21651237 23048091 26462623 43302474 46096182 52925246 64953711 79387869 129907422 158775738 238163607 476327214 714490821 1428981642