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542185830 = 232559310159
BaseRepresentation
bin100000010100010…
…001100101100110
31101210012220010200
4200110101211212
52102244421310
6125444531330
716302334464
oct4024214546
91353186120
10542185830
1125906026a
121316b0b46
1388435824
1452017834
15328ec9c0
hex20511966

542185830 has 48 divisors (see below), whose sum is σ = 1412199360. Its totient is φ = 144324864.

The previous prime is 542185823. The next prime is 542185837. The reversal of 542185830 is 38581245.

It is a happy number.

542185830 is a `hidden beast` number, since 54 + 21 + 8 + 583 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (542185823) and next prime (542185837).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (542185837) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 48291 + ... + 58449.

It is an arithmetic number, because the mean of its divisors is an integer number (29420820).

Almost surely, 2542185830 is an apocalyptic number.

542185830 is an abundant number, since it is smaller than the sum of its proper divisors (870013530).

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

542185830 is a wasteful number, since it uses less digits than its factorization.

542185830 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10765 (or 10762 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 36.

The square root of 542185830 is about 23284.8841525999. The cubic root of 542185830 is about 815.4225567940.

The spelling of 542185830 in words is "five hundred forty-two million, one hundred eighty-five thousand, eight hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 593 1186 1779 2965 3558 5337 5930 8895 10159 10674 17790 20318 26685 30477 50795 53370 60954 91431 101590 152385 182862 304770 457155 914310 6024287 12048574 18072861 30121435 36145722 54218583 60242870 90364305 108437166 180728610 271092915 542185830