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1428015744 = 2735311481
BaseRepresentation
bin101010100011101…
…1100101010000000
310200112001201100000
41111013130222000
510411033000434
6353411200000
750246635131
oct12507345200
93615051300
101428015744
11673094401
1233a2a6000
13199b0a53c
14d7925c88
158557ab99
hex551dca80

1428015744 has 192 divisors, whose sum is σ = 4401895680. Its totient is φ = 460339200.

The previous prime is 1428015731. The next prime is 1428015761. The reversal of 1428015744 is 4475108241.

It is a happy number.

1428015744 is a `hidden beast` number, since 1 + 4 + 2 + 80 + 1 + 574 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-2 number, since 2×14280157442 = 4078457930223747072, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 1428015699 and 1428015708.

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 23 ways as a sum of consecutive naturals, for example, 963484 + ... + 964964.

It is an arithmetic number, because the mean of its divisors is an integer number (22926540).

Almost surely, 21428015744 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1428015744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2200947840).

1428015744 is an abundant number, since it is smaller than the sum of its proper divisors (2973879936).

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

1428015744 is an equidigital number, since it uses as much as digits as its factorization.

1428015744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1541 (or 1517 counting only the distinct ones).

The product of its (nonzero) digits is 35840, while the sum is 36.

The square root of 1428015744 is about 37789.0955700186. The cubic root of 1428015744 is about 1126.1018325056.

The spelling of 1428015744 in words is "one billion, four hundred twenty-eight million, fifteen thousand, seven hundred forty-four".