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42666036 = 223747101107
BaseRepresentation
bin1010001011000…
…0100000110100
32222021122210120
42202300200310
541410303121
64122251540
71025440530
oct242604064
988248716
1042666036
11220a1696
1212356bb0
138abb19a
145948bc0
153b2bbc6
hex28b0834

42666036 has 96 divisors (see below), whose sum is σ = 118444032. Its totient is φ = 11702400.

The previous prime is 42665957. The next prime is 42666053. The reversal of 42666036 is 63066624.

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 42665988 and 42666006.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 398695 + ... + 398801.

It is an arithmetic number, because the mean of its divisors is an integer number (1233792).

Almost surely, 242666036 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 42666036, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59222016).

42666036 is an abundant number, since it is smaller than the sum of its proper divisors (75777996).

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

42666036 is a wasteful number, since it uses less digits than its factorization.

42666036 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 269 (or 267 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 33.

The square root of 42666036 is about 6531.9243718831. The cubic root of 42666036 is about 349.4304642045.

The spelling of 42666036 in words is "forty-two million, six hundred sixty-six thousand, thirty-six".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 47 84 94 101 107 141 188 202 214 282 303 321 329 404 428 564 606 642 658 707 749 987 1212 1284 1316 1414 1498 1974 2121 2247 2828 2996 3948 4242 4494 4747 5029 8484 8988 9494 10058 10807 14241 15087 18988 20116 21614 28482 30174 32421 33229 35203 43228 56964 60348 64842 66458 70406 75649 99687 105609 129684 132916 140812 151298 199374 211218 226947 302596 398748 422436 453894 507929 907788 1015858 1523787 2031716 3047574 3555503 6095148 7111006 10666509 14222012 21333018 42666036