Search a number
-
+
42647382 = 23223313323
BaseRepresentation
bin1010001010101…
…1111101010110
32222020201012200
42202223331112
541404204012
64122025330
71025332251
oct242537526
988221180
1042647382
1122089678
1212348246
138ab284b
145942098
153b263dc
hex28abf56

42647382 has 48 divisors (see below), whose sum is σ = 99560448. Its totient is φ = 13155120.

The previous prime is 42647369. The next prime is 42647387. The reversal of 42647382 is 28374624.

42647382 is a `hidden beast` number, since 4 + 2 + 647 + 3 + 8 + 2 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42647387) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11173 + ... + 14495.

It is an arithmetic number, because the mean of its divisors is an integer number (2074176).

Almost surely, 242647382 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42647382, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49780224).

42647382 is an abundant number, since it is smaller than the sum of its proper divisors (56913066).

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

42647382 is a wasteful number, since it uses less digits than its factorization.

42647382 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3385 (or 3382 counting only the distinct ones).

The product of its digits is 64512, while the sum is 36.

The square root of 42647382 is about 6530.4963057948. The cubic root of 42647382 is about 349.3795319981.

The spelling of 42647382 in words is "forty-two million, six hundred forty-seven thousand, three hundred eighty-two".

Divisors: 1 2 3 6 9 18 23 31 46 62 69 93 138 186 207 279 414 558 713 1426 2139 3323 4278 6417 6646 9969 12834 19938 29907 59814 76429 103013 152858 206026 229287 309039 458574 618078 687861 927117 1375722 1854234 2369299 4738598 7107897 14215794 21323691 42647382