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1648235456 = 2678594283
BaseRepresentation
bin110001000111110…
…0001001111000000
311020212110000222122
41202033201033000
511333422013311
6431315223412
755562525120
oct14217411700
94225400878
101648235456
1177642776a
1239bba7b68
13203623c6a
14118c8cc80
1599a7b0db
hex623e13c0

1648235456 has 56 divisors (see below), whose sum is σ = 3743187840. Its totient is φ = 705399552.

The previous prime is 1648235437. The next prime is 1648235473. The reversal of 1648235456 is 6545328461.

It is a tau number, because it is divible by the number of its divisors (56).

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 382691 + ... + 386973.

It is an arithmetic number, because the mean of its divisors is an integer number (66842640).

Almost surely, 21648235456 is an apocalyptic number.

1648235456 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 1648235456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1871593920).

1648235456 is an abundant number, since it is smaller than the sum of its proper divisors (2094952384).

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

1648235456 is an equidigital number, since it uses as much as digits as its factorization.

1648235456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5161 (or 5151 counting only the distinct ones).

The product of its digits is 691200, while the sum is 44.

The square root of 1648235456 is about 40598.4661779235. The cubic root of 1648235456 is about 1181.2443676523.

The spelling of 1648235456 in words is "one billion, six hundred forty-eight million, two hundred thirty-five thousand, four hundred fifty-six".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 224 448 859 1718 3436 4283 6013 6872 8566 12026 13744 17132 24052 27488 29981 34264 48104 54976 59962 68528 96208 119924 137056 192416 239848 274112 384832 479696 959392 1918784 3679097 7358194 14716388 25753679 29432776 51507358 58865552 103014716 117731104 206029432 235462208 412058864 824117728 1648235456