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1427912892 = 22327171492237
BaseRepresentation
bin101010100011100…
…0011100010111100
310200111212111020200
41111013003202330
510411021203032
6353405043500
750246026230
oct12507034274
93614774220
101427912892
116730240aa
1233a256590
13199aa2793
14d78da5c0
158555a47c
hex551c38bc

1427912892 has 144 divisors (see below), whose sum is σ = 4399012800. Its totient is φ = 381229056.

The previous prime is 1427912873. The next prime is 1427912903. The reversal of 1427912892 is 2982197241.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 637198 + ... + 639434.

It is an arithmetic number, because the mean of its divisors is an integer number (30548700).

Almost surely, 21427912892 is an apocalyptic number.

1427912892 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 1427912892, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2199506400).

1427912892 is an abundant number, since it is smaller than the sum of its proper divisors (2971099908).

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

1427912892 is a wasteful number, since it uses less digits than its factorization.

1427912892 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2420 (or 2415 counting only the distinct ones).

The product of its digits is 145152, while the sum is 45.

The square root of 1427912892 is about 37787.7346767440. The cubic root of 1427912892 is about 1126.0747962475.

The spelling of 1427912892 in words is "one billion, four hundred twenty-seven million, nine hundred twelve thousand, eight hundred ninety-two".

Divisors: 1 2 3 4 6 7 9 12 14 17 18 21 28 34 36 42 51 63 68 84 102 119 126 149 153 204 238 252 298 306 357 447 476 596 612 714 894 1043 1071 1341 1428 1788 2086 2142 2237 2533 2682 3129 4172 4284 4474 5066 5364 6258 6711 7599 8948 9387 10132 12516 13422 15198 15659 17731 18774 20133 22797 26844 30396 31318 35462 37548 38029 40266 45594 46977 53193 62636 70924 76058 80532 91188 93954 106386 114087 140931 152116 159579 187908 212772 228174 266203 281862 319158 333313 342261 456348 532406 563724 638316 666626 684522 798609 999939 1064812 1333252 1369044 1597218 1999878 2333191 2395827 2999817 3194436 3999756 4666382 4791654 5666321 5999634 6999573 9332764 9583308 11332642 11999268 13999146 16998963 20998719 22665284 27998292 33997926 39664247 41997438 50996889 67995852 79328494 83994876 101993778 118992741 158656988 203987556 237985482 356978223 475970964 713956446 1427912892