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542062080 = 2932573361
BaseRepresentation
bin100000010011110…
…011011000000000
31101202222121101100
4200103303120000
52102231441310
6125442134400
716301310630
oct4023633000
91352877340
10542062080
11258a8629a
12131651400
13883c13c1
1451dc46c0
15328c5ec0
hex204f3600

542062080 has 240 divisors, whose sum is σ = 2146139424. Its totient is φ = 123863040.

The previous prime is 542062061. The next prime is 542062133. The reversal of 542062080 is 80260245.

It is a tau number, because it is divible by the number of its divisors (240).

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, 159600 + ... + 162960.

Almost surely, 2542062080 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 542062080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1073069712).

542062080 is an abundant number, since it is smaller than the sum of its proper divisors (1604077344).

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

542062080 is a wasteful number, since it uses less digits than its factorization.

542062080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3397 (or 3378 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 542062080 is about 23282.2266976335. The cubic root of 542062080 is about 815.3605139703.

The spelling of 542062080 in words is "five hundred forty-two million, sixty-two thousand, eighty".