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42649245 = 3252389463
BaseRepresentation
bin1010001010110…
…0011010011101
32222020210202200
42202230122131
541404233440
64122042113
71025340552
oct242543235
988223680
1042649245
1122090011
1212349339
138ab3652
145942a29
153b26c30
hex28ac69d

42649245 has 48 divisors (see below), whose sum is σ = 78174720. Its totient is φ = 21466368.

The previous prime is 42649241. The next prime is 42649247. The reversal of 42649245 is 54294624.

42649245 is a `hidden beast` number, since 4 + 2 + 649 + 2 + 4 + 5 = 666.

42649245 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 42649245 - 22 = 42649241 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42649241) 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 47 ways as a sum of consecutive naturals, for example, 91884 + ... + 92346.

It is an arithmetic number, because the mean of its divisors is an integer number (1628640).

Almost surely, 242649245 is an apocalyptic number.

42649245 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

42649245 is a deficient number, since it is larger than the sum of its proper divisors (35525475).

42649245 is a wasteful number, since it uses less digits than its factorization.

42649245 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 586 (or 583 counting only the distinct ones).

The product of its digits is 69120, while the sum is 36.

The square root of 42649245 is about 6530.6389427069. The cubic root of 42649245 is about 349.3846193334.

The spelling of 42649245 in words is "forty-two million, six hundred forty-nine thousand, two hundred forty-five".

Divisors: 1 3 5 9 15 23 45 69 89 115 207 267 345 445 463 801 1035 1335 1389 2047 2315 4005 4167 6141 6945 10235 10649 18423 20835 30705 31947 41207 53245 92115 95841 123621 159735 206035 370863 479205 618105 947761 1854315 2843283 4738805 8529849 14216415 42649245