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542310642 = 232178919913
BaseRepresentation
bin100000010100110…
…000000011110010
31101210110020100100
4200110300003302
52102312420032
6125451333230
716303364406
oct4024600362
91353406310
10542310642
11259136015
12131751216
138847a593
145204b106
153292497c
hex205300f2

542310642 has 48 divisors (see below), whose sum is σ = 1258166520. Its totient is φ = 168216576.

The previous prime is 542310641. The next prime is 542310677. The reversal of 542310642 is 246013245.

542310642 is a `hidden beast` number, since 5 + 4 + 2 + 3 + 10 + 642 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 302029641 + 240281001 = 17379^2 + 15501^2 .

It is not an unprimeable number, because it can be changed into a prime (542310641) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 17278 + ... + 37190.

Almost surely, 2542310642 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 542310642, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (629083260).

542310642 is an abundant number, since it is smaller than the sum of its proper divisors (715855878).

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

542310642 is a wasteful number, since it uses less digits than its factorization.

542310642 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20027 (or 20024 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 542310642 is about 23287.5641061920. The cubic root of 542310642 is about 815.4851224962.

Adding to 542310642 its reverse (246013245), we get a palindrome (788323887).

The spelling of 542310642 in words is "five hundred forty-two million, three hundred ten thousand, six hundred forty-two".

Divisors: 1 2 3 6 9 17 18 34 51 89 102 153 178 267 306 534 801 1513 1602 3026 4539 9078 13617 19913 27234 39826 59739 119478 179217 338521 358434 677042 1015563 1772257 2031126 3046689 3544514 5316771 6093378 10633542 15950313 30128369 31900626 60256738 90385107 180770214 271155321 542310642