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542667840 = 263511135967
BaseRepresentation
bin100000010110000…
…111010001000000
31101211010101022220
4200112013101000
52102410332330
6125503131040
716306412661
oct4026072100
91354111286
10542667840
1125935a420
121318a3a80
1388574040
1452101368
1532995710
hex20587440

542667840 has 448 divisors, whose sum is σ = 2089221120. Its totient is φ = 117596160.

The previous prime is 542667809. The next prime is 542667857. The reversal of 542667840 is 48766245.

It is a junction number, because it is equal to n+sod(n) for n = 542667792 and 542667801.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8099487 + ... + 8099553.

It is an arithmetic number, because the mean of its divisors is an integer number (4663440).

Almost surely, 2542667840 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 542667840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1044610560).

542667840 is an abundant number, since it is smaller than the sum of its proper divisors (1546553280).

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

542667840 is a wasteful number, since it uses less digits than its factorization.

542667840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 170 (or 160 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 42.

The square root of 542667840 is about 23295.2321302021. The cubic root of 542667840 is about 815.6641255141.

The spelling of 542667840 in words is "five hundred forty-two million, six hundred sixty-seven thousand, eight hundred forty".