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542245770 = 23251121729101
BaseRepresentation
bin100000010100100…
…000001110001010
31101210022221100200
4200110200032022
52102303331040
6125450113030
716303004313
oct4024401612
91353287320
10542245770
112590a1300
1213171b776
1388456bb1
145203160a
1532910630
hex2052038a

542245770 has 288 divisors, whose sum is σ = 1714199760. Its totient is φ = 118272000.

The previous prime is 542245757. The next prime is 542245777. The reversal of 542245770 is 77542245.

It is a happy number.

542245770 is a `hidden beast` number, since 542 + 2 + 45 + 7 + 70 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 458687889 + 83557881 = 21417^2 + 9141^2 .

It is not an unprimeable number, because it can be changed into a prime (542245777) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 5368720 + ... + 5368820.

Almost surely, 2542245770 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 542245770, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (857099880).

542245770 is an abundant number, since it is smaller than the sum of its proper divisors (1171953990).

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

542245770 is a wasteful number, since it uses less digits than its factorization.

542245770 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 182 (or 168 counting only the distinct ones).

The product of its (nonzero) digits is 78400, while the sum is 36.

The square root of 542245770 is about 23286.1712181286. The cubic root of 542245770 is about 815.4526046880.

The spelling of 542245770 in words is "five hundred forty-two million, two hundred forty-five thousand, seven hundred seventy".