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1428812112 = 2437131093001
BaseRepresentation
bin101010100101001…
…1111000101010000
310200120120011202010
41111022133011100
510411233441422
6353440222520
750256462660
oct12512370520
93616504663
101428812112
11673588762
1233a60aa40
1319a028b70
14d7a921a0
1585686b0c
hex5529f150

1428812112 has 160 divisors (see below), whose sum is σ = 4586095360. Its totient is φ = 373248000.

The previous prime is 1428812093. The next prime is 1428812117. The reversal of 1428812112 is 2112188241.

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 1428812112.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1428812117) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 474612 + ... + 477612.

It is an arithmetic number, because the mean of its divisors is an integer number (28663096).

Almost surely, 21428812112 is an apocalyptic number.

1428812112 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 1428812112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2293047680).

1428812112 is an abundant number, since it is smaller than the sum of its proper divisors (3157283248).

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

1428812112 is a wasteful number, since it uses less digits than its factorization.

1428812112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3141 (or 3135 counting only the distinct ones).

The product of its digits is 2048, while the sum is 30.

The square root of 1428812112 is about 37799.6311093111. The cubic root of 1428812112 is about 1126.3111263722.

The spelling of 1428812112 in words is "one billion, four hundred twenty-eight million, eight hundred twelve thousand, one hundred twelve".

Divisors: 1 2 3 4 6 7 8 12 13 14 16 21 24 26 28 39 42 48 52 56 78 84 91 104 109 112 156 168 182 208 218 273 312 327 336 364 436 546 624 654 728 763 872 1092 1308 1417 1456 1526 1744 2184 2289 2616 2834 3001 3052 4251 4368 4578 5232 5668 6002 6104 8502 9003 9156 9919 11336 12004 12208 17004 18006 18312 19838 21007 22672 24008 29757 34008 36012 36624 39013 39676 42014 48016 59514 63021 68016 72024 78026 79352 84028 117039 119028 126042 144048 156052 158704 168056 234078 238056 252084 273091 312104 327109 336112 468156 476112 504168 546182 624208 654218 819273 936312 981327 1008336 1092364 1308436 1638546 1872624 1962654 2184728 2289763 2616872 3277092 3925308 4252417 4369456 4579526 5233744 6554184 6869289 7850616 8504834 9159052 12757251 13108368 13738578 15701232 17009668 18318104 25514502 27477156 29766919 34019336 36636208 51029004 54954312 59533838 68038672 89300757 102058008 109908624 119067676 178601514 204116016 238135352 357203028 476270704 714406056 1428812112