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42861366 = 2337383131
BaseRepresentation
bin1010001110000…
…0001100110110
32222122120202000
42203200030312
541433030431
64130400130
71030213152
oct243401466
988576660
1042861366
1122215419
1212430046
138b59072
14599a062
153b699e6
hex28e0336

42861366 has 64 divisors (see below), whose sum is σ = 98461440. Its totient is φ = 13815360.

The previous prime is 42861361. The next prime is 42861389. The reversal of 42861366 is 66316824.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 42861366.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42861361) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 327121 + ... + 327251.

It is an arithmetic number, because the mean of its divisors is an integer number (1538460).

Almost surely, 242861366 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42861366, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49230720).

42861366 is an abundant number, since it is smaller than the sum of its proper divisors (55600074).

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

42861366 is a wasteful number, since it uses less digits than its factorization.

42861366 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 298 (or 292 counting only the distinct ones).

The product of its digits is 41472, while the sum is 36.

The square root of 42861366 is about 6546.8592469978. The cubic root of 42861366 is about 349.9628967471.

The spelling of 42861366 in words is "forty-two million, eight hundred sixty-one thousand, three hundred sixty-six".

Divisors: 1 2 3 6 9 18 27 54 73 83 131 146 166 219 249 262 393 438 498 657 747 786 1179 1314 1494 1971 2241 2358 3537 3942 4482 6059 7074 9563 10873 12118 18177 19126 21746 28689 32619 36354 54531 57378 65238 86067 97857 109062 163593 172134 195714 258201 293571 327186 516402 587142 793729 1587458 2381187 4762374 7143561 14287122 21430683 42861366