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542819970 = 2325711293773
BaseRepresentation
bin100000010110101…
…100011010000010
31101211102010000100
4200112230122002
52102430214340
6125510303230
716310615340
oct4026543202
91354363010
10542819970
11259453750
12131957b16
13885c8364
1452140990
15329c5830
hex205ac682

542819970 has 384 divisors, whose sum is σ = 1895063040. Its totient is φ = 104509440.

The previous prime is 542819929. The next prime is 542820017. The reversal of 542819970 is 79918245.

542819970 is a `hidden beast` number, since 542 + 8 + 19 + 97 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 7435854 + ... + 7435926.

It is an arithmetic number, because the mean of its divisors is an integer number (4935060).

Almost surely, 2542819970 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 542819970, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (947531520).

542819970 is an abundant number, since it is smaller than the sum of its proper divisors (1352243070).

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

542819970 is a wasteful number, since it uses less digits than its factorization.

542819970 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 170 (or 167 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 45.

The square root of 542819970 is about 23298.4971618343. The cubic root of 542819970 is about 815.7403387337.

The spelling of 542819970 in words is "five hundred forty-two million, eight hundred nineteen thousand, nine hundred seventy".