[go: up one dir, main page]

Search a number
-
+
42704112 = 24311312609
BaseRepresentation
bin1010001011100…
…1110011110000
32222100121000210
42202321303300
541413012422
64123144120
71025656533
oct242716360
988317023
1042704112
1122118260
1212375040
138b02609
145958a1a
153b3810c
hex28b9cf0

42704112 has 80 divisors (see below), whose sum is σ = 124277760. Its totient is φ = 12518400.

The previous prime is 42704111. The next prime is 42704171. The reversal of 42704112 is 21140724.

It is a happy number.

42704112 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42704111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15064 + ... + 17672.

It is an arithmetic number, because the mean of its divisors is an integer number (1553472).

Almost surely, 242704112 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 42704112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62138880).

42704112 is an abundant number, since it is smaller than the sum of its proper divisors (81573648).

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

42704112 is a wasteful number, since it uses less digits than its factorization.

42704112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2662 (or 2656 counting only the distinct ones).

The product of its (nonzero) digits is 448, while the sum is 21.

The square root of 42704112 is about 6534.8383300584. The cubic root of 42704112 is about 349.5343794785.

Adding to 42704112 its reverse (21140724), we get a palindrome (63844836).

The spelling of 42704112 in words is "forty-two million, seven hundred four thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 31 33 44 48 62 66 88 93 124 132 176 186 248 264 341 372 496 528 682 744 1023 1364 1488 2046 2609 2728 4092 5218 5456 7827 8184 10436 15654 16368 20872 28699 31308 41744 57398 62616 80879 86097 114796 125232 161758 172194 229592 242637 323516 344388 459184 485274 647032 688776 889669 970548 1294064 1377552 1779338 1941096 2669007 3558676 3882192 5338014 7117352 10676028 14234704 21352056 42704112