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27264042 = 23213374767
BaseRepresentation
bin110100000000…
…0010000101010
31220022011020100
41220000100222
523434422132
62412210230
7450512001
oct150002052
956264210
1027264042
1114431973
129169976
135857890
143899c38
1525d837c
hex1a0042a

27264042 has 96 divisors (see below), whose sum is σ = 67721472. Its totient is φ = 7869312.

The previous prime is 27264037. The next prime is 27264043. The reversal of 27264042 is 24046272.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 27263997 and 27264015.

It is not an unprimeable number, because it can be changed into a prime (27264043) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 406893 + ... + 406959.

It is an arithmetic number, because the mean of its divisors is an integer number (705432).

Almost surely, 227264042 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 27264042, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33860736).

27264042 is an abundant number, since it is smaller than the sum of its proper divisors (40457430).

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

27264042 is a wasteful number, since it uses less digits than its factorization.

27264042 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 172 (or 169 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 27.

The square root of 27264042 is about 5221.4980609017. The cubic root of 27264042 is about 300.9747626953.

The spelling of 27264042 in words is "twenty-seven million, two hundred sixty-four thousand, forty-two".

Divisors: 1 2 3 6 9 13 18 26 37 39 47 67 74 78 94 111 117 134 141 201 222 234 282 333 402 423 481 603 611 666 846 871 962 1206 1222 1443 1739 1742 1833 2479 2613 2886 3149 3478 3666 4329 4958 5217 5226 5499 6298 7437 7839 8658 9447 10434 10998 14874 15651 15678 18894 22311 22607 28341 31302 32227 40937 44622 45214 56682 64454 67821 81874 96681 116513 122811 135642 193362 203463 233026 245622 290043 349539 368433 406926 580086 699078 736866 1048617 1514669 2097234 3029338 4544007 9088014 13632021 27264042