[go: up one dir, main page]

Search a number
-
+
42286716 = 22324359463
BaseRepresentation
bin1010000101001…
…1111001111100
32221120101110200
42201103321330
541311133331
64110203500
71022300613
oct241237174
987511420
1042286716
11219626aa
12121b3590
1389b7634
14588a87a
153aa45e6
hex2853e7c

42286716 has 72 divisors (see below), whose sum is σ = 111471360. Its totient is φ = 13505184.

The previous prime is 42286711. The next prime is 42286729. The reversal of 42286716 is 61768224.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42286711) 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, 91101 + ... + 91563.

Almost surely, 242286716 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 42286716, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55735680).

42286716 is an abundant number, since it is smaller than the sum of its proper divisors (69184644).

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

42286716 is a wasteful number, since it uses less digits than its factorization.

42286716 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 575 (or 570 counting only the distinct ones).

The product of its digits is 32256, while the sum is 36.

The square root of 42286716 is about 6502.8236943654. The cubic root of 42286716 is about 348.3918495336.

The spelling of 42286716 in words is "forty-two million, two hundred eighty-six thousand, seven hundred sixteen".

Divisors: 1 2 3 4 6 9 12 18 36 43 59 86 118 129 172 177 236 258 354 387 463 516 531 708 774 926 1062 1389 1548 1852 2124 2537 2778 4167 5074 5556 7611 8334 10148 15222 16668 19909 22833 27317 30444 39818 45666 54634 59727 79636 81951 91332 109268 119454 163902 179181 238908 245853 327804 358362 491706 716724 983412 1174631 2349262 3523893 4698524 7047786 10571679 14095572 21143358 42286716