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288054144 = 273873
BaseRepresentation
bin10001001010110…
…101101110000000
3202002000200000000
4101022311232000
51042220213034
644330000000
710065264000
oct2112655600
9662020000
10288054144
11138665384
1280576000
13478a7651
142a384000
151a44e599
hex112b5b80

288054144 has 288 divisors, whose sum is σ = 1003782000. Its totient is φ = 82301184.

The previous prime is 288054113. The next prime is 288054157. The reversal of 288054144 is 441450882.

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 is a tau number, because it is divible by the number of its divisors (288).

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

It is a nialpdrome in base 6.

It is a zygodrome in base 6.

It is a junction number, because it is equal to n+sod(n) for n = 288054099 and 288054108.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 41150589 + ... + 41150595.

Almost surely, 2288054144 is an apocalyptic number.

288054144 is a gapful number since it is divisible by the number (24) 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 288054144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (501891000).

288054144 is an abundant number, since it is smaller than the sum of its proper divisors (715727856).

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

288054144 is an frugal number, since it uses more digits than its factorization.

288054144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 59 (or 12 counting only the distinct ones).

The product of its (nonzero) digits is 40960, while the sum is 36.

The square root of 288054144 is about 16972.1579064066. The cubic root of 288054144 is about 660.4268313406.

The spelling of 288054144 in words is "two hundred eighty-eight million, fifty-four thousand, one hundred forty-four".