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542143872 = 273217193147
BaseRepresentation
bin100000010100000…
…111010110000000
31101210010202120200
4200110013112000
52102242100442
6125444005200
716302101244
oct4024072600
91353122520
10542143872
11259031796
12131690800
138841c6ba
1452006424
15328e034c
hex20507580

542143872 has 384 divisors, whose sum is σ = 1833062400. Its totient is φ = 152616960.

The previous prime is 542143807. The next prime is 542143883. The reversal of 542143872 is 278341245.

It is a happy number.

542143872 is a `hidden beast` number, since 542 + 1 + 43 + 8 + 72 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11534953 + ... + 11534999.

It is an arithmetic number, because the mean of its divisors is an integer number (4773600).

Almost surely, 2542143872 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 542143872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (916531200).

542143872 is an abundant number, since it is smaller than the sum of its proper divisors (1290918528).

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

542143872 is a wasteful number, since it uses less digits than its factorization.

542143872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134 (or 119 counting only the distinct ones).

The product of its digits is 53760, while the sum is 36.

The square root of 542143872 is about 23283.9831643987. The cubic root of 542143872 is about 815.4015219505.

The spelling of 542143872 in words is "five hundred forty-two million, one hundred forty-three thousand, eight hundred seventy-two".