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1428051456 = 29321331769
BaseRepresentation
bin101010100011110…
…0101011000000000
310200112010112022200
41111013211120000
510411040121311
6353412033200
750250144216
oct12507453000
93615115280
101428051456
11673109217
1233a302800
13199b20880
14d7934cb6
1585586556
hex551e5600

1428051456 has 240 divisors, whose sum is σ = 4587623040. Its totient is φ = 424673280.

The previous prime is 1428051413. The next prime is 1428051463. The reversal of 1428051456 is 6541508241.

It is a happy number.

1428051456 is a `hidden beast` number, since 14 + 2 + 80 + 514 + 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 1428051456.

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, 1856640 + ... + 1857408.

It is an arithmetic number, because the mean of its divisors is an integer number (19115096).

Almost surely, 21428051456 is an apocalyptic number.

1428051456 is a gapful number since it is divisible by the number (16) 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 1428051456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2293811520).

1428051456 is an abundant number, since it is smaller than the sum of its proper divisors (3159571584).

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

1428051456 is a wasteful number, since it uses less digits than its factorization.

1428051456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 837 (or 818 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 36.

The square root of 1428051456 is about 37789.5680843272. The cubic root of 1428051456 is about 1126.1112196601. Note that the first 3 decimals are identical.

Adding to 1428051456 its reverse (6541508241), we get a palindrome (7969559697).

The spelling of 1428051456 in words is "one billion, four hundred twenty-eight million, fifty-one thousand, four hundred fifty-six".