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1448902656 = 21532173
BaseRepresentation
bin101011001011100…
…1000000000000000
310201222100212210100
41112113020000000
510431404341111
6355435002400
750622316665
oct12627100000
93658325710
101448902656
11683960013
12345299400
131a1241566
14da601a6c
1587304756
hex565c8000

1448902656 has 192 divisors, whose sum is σ = 4447205100. Its totient is φ = 454557696.

The previous prime is 1448902633. The next prime is 1448902667. The reversal of 1448902656 is 6562098441.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 1445216256 + 3686400 = 38016^2 + 1920^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 85229560 + ... + 85229576.

Almost surely, 21448902656 is an apocalyptic number.

1448902656 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 1448902656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2223602550).

1448902656 is an abundant number, since it is smaller than the sum of its proper divisors (2998302444).

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

1448902656 is an frugal number, since it uses more digits than its factorization.

1448902656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87 (or 22 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The square root of 1448902656 is about 38064.4539695501. The cubic root of 1448902656 is about 1131.5655997402.

The spelling of 1448902656 in words is "one billion, four hundred forty-eight million, nine hundred two thousand, six hundred fifty-six".