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42727104 = 2632710597
BaseRepresentation
bin1010001011111…
…1011011000000
32222101202120100
42202333123000
541414231404
64123442400
71026113550
oct242773300
988352510
1042727104
1122133562
1212386400
138b0cc14
145963160
153b3ed39
hex28bf6c0

42727104 has 84 divisors (see below), whose sum is σ = 139978384. Its totient is φ = 12206592.

The previous prime is 42727099. The next prime is 42727109. The reversal of 42727104 is 40172724.

It is a happy number.

42727104 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (42727099) and next prime (42727109).

It is a tau number, because it is divible by the number of its divisors (84).

It is not an unprimeable number, because it can be changed into a prime (42727109) 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 11 ways as a sum of consecutive naturals, for example, 1267 + ... + 9330.

Almost surely, 242727104 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42727104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69989192).

42727104 is an abundant number, since it is smaller than the sum of its proper divisors (97251280).

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

42727104 is a wasteful number, since it uses less digits than its factorization.

42727104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10622 (or 10609 counting only the distinct ones).

The product of its (nonzero) digits is 3136, while the sum is 27.

The square root of 42727104 is about 6536.5972799309. The cubic root of 42727104 is about 349.5970982833.

Adding to 42727104 its reverse (40172724), we get a palindrome (82899828).

The spelling of 42727104 in words is "forty-two million, seven hundred twenty-seven thousand, one hundred four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 64 72 84 96 112 126 144 168 192 224 252 288 336 448 504 576 672 1008 1344 2016 4032 10597 21194 31791 42388 63582 74179 84776 95373 127164 148358 169552 190746 222537 254328 296716 339104 381492 445074 508656 593432 667611 678208 762984 890148 1017312 1186864 1335222 1525968 1780296 2034624 2373728 2670444 3051936 3560592 4747456 5340888 6103872 7121184 10681776 14242368 21363552 42727104