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542817810 = 232543140263
BaseRepresentation
bin100000010110101…
…011111000010010
31101211102000001100
4200112223320102
52102430132220
6125510245230
716310606133
oct4026537022
91354360040
10542817810
11259452067
12131956816
13885c7392
145213dc8a
15329c4d90
hex205abe12

542817810 has 48 divisors (see below), whose sum is σ = 1444158144. Its totient is φ = 141384096.

The previous prime is 542817809. The next prime is 542817811. The reversal of 542817810 is 18718245.

It is an interprime number because it is at equal distance from previous prime (542817809) and next prime (542817811).

It is a super-2 number, since 2×5428178102 = 589302349706392200, which contains 22 as substring.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (542817811) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 66262 + ... + 74001.

It is an arithmetic number, because the mean of its divisors is an integer number (30086628).

Almost surely, 2542817810 is an apocalyptic number.

542817810 is an abundant number, since it is smaller than the sum of its proper divisors (901340334).

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

542817810 is a wasteful number, since it uses less digits than its factorization.

542817810 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 140319 (or 140316 counting only the distinct ones).

The product of its (nonzero) digits is 17920, while the sum is 36.

The square root of 542817810 is about 23298.4508068670. The cubic root of 542817810 is about 815.7392567289.

The spelling of 542817810 in words is "five hundred forty-two million, eight hundred seventeen thousand, eight hundred ten".

Divisors: 1 2 3 5 6 9 10 15 18 30 43 45 86 90 129 215 258 387 430 645 774 1290 1935 3870 140263 280526 420789 701315 841578 1262367 1402630 2103945 2524734 4207890 6031309 6311835 12062618 12623670 18093927 30156545 36187854 54281781 60313090 90469635 108563562 180939270 271408905 542817810