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42916636 = 22717293109
BaseRepresentation
bin1010001110110…
…1101100011100
32222202101120001
42203231230130
541441313021
64131504044
71030533250
oct243555434
988671501
1042916636
11222529a4
1212458024
138b78279
1459b2260
153b7b091
hex28edb1c

42916636 has 48 divisors (see below), whose sum is σ = 94046400. Its totient is φ = 16708608.

The previous prime is 42916631. The next prime is 42916637. The reversal of 42916636 is 63661924.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 42916595 and 42916604.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42916631) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12250 + ... + 15358.

It is an arithmetic number, because the mean of its divisors is an integer number (1959300).

Almost surely, 242916636 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 42916636, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47023200).

42916636 is an abundant number, since it is smaller than the sum of its proper divisors (51129764).

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

42916636 is a wasteful number, since it uses less digits than its factorization.

42916636 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3166 (or 3164 counting only the distinct ones).

The product of its digits is 46656, while the sum is 37.

The square root of 42916636 is about 6551.0789950969. The cubic root of 42916636 is about 350.1132585841.

The spelling of 42916636 in words is "forty-two million, nine hundred sixteen thousand, six hundred thirty-six".

Divisors: 1 2 4 7 14 17 28 29 34 58 68 116 119 203 238 406 476 493 812 986 1972 3109 3451 6218 6902 12436 13804 21763 43526 52853 87052 90161 105706 180322 211412 360644 369971 631127 739942 1262254 1479884 1532737 2524508 3065474 6130948 10729159 21458318 42916636