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42744258 = 232232672
BaseRepresentation
bin1010001100001…
…1100111000010
32222102122002200
42203003213002
541420304013
64124054030
71026214554
oct243034702
988378080
1042744258
1122145437
1212394316
138b1797b
1459694d4
153b44e73
hex28c39c2

42744258 has 54 divisors (see below), whose sum is σ = 98280819. Its totient is φ = 13425192.

The previous prime is 42744227. The next prime is 42744271. The reversal of 42744258 is 85244724.

It can be written as a sum of positive squares in only one way, i.e., 21372129 + 21372129 = 4623^2 + 4623^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=4623.

It is a Curzon number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 637941 + ... + 638007.

Almost surely, 242744258 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42744258

42744258 is an abundant number, since it is smaller than the sum of its proper divisors (55536561).

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

42744258 is a wasteful number, since it uses less digits than its factorization.

42744258 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 188 (or 95 counting only the distinct ones).

The product of its digits is 71680, while the sum is 36.

The square root of 42744258 is about 6537.9092988508. The cubic root of 42744258 is about 349.6438772260.

The spelling of 42744258 in words is "forty-two million, seven hundred forty-four thousand, two hundred fifty-eight".

Divisors: 1 2 3 6 9 18 23 46 67 69 134 138 201 207 402 414 529 603 1058 1206 1541 1587 3082 3174 4489 4623 4761 8978 9246 9522 13467 13869 26934 27738 35443 40401 70886 80802 103247 106329 206494 212658 309741 318987 619482 637974 929223 1858446 2374681 4749362 7124043 14248086 21372129 42744258