Search a number
-
+
42305808 = 24343103199
BaseRepresentation
bin1010000101100…
…0100100010000
32221121100122210
42201120210100
541312241213
64110432120
71022410356
oct241304420
987540583
1042305808
1121975a86
1212202640
1389c322c
1458937d6
153aaa0c3
hex2858910

42305808 has 80 divisors (see below), whose sum is σ = 113484800. Its totient is φ = 13571712.

The previous prime is 42305807. The next prime is 42305827. The reversal of 42305808 is 80850324.

It is not an unprimeable number, because it can be changed into a prime (42305803) 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, 212493 + ... + 212691.

It is an arithmetic number, because the mean of its divisors is an integer number (1418560).

Almost surely, 242305808 is an apocalyptic number.

42305808 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42305808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56742400).

42305808 is an abundant number, since it is smaller than the sum of its proper divisors (71178992).

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

42305808 is a wasteful number, since it uses less digits than its factorization.

42305808 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 356 (or 350 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 30.

The square root of 42305808 is about 6504.2915063825. The cubic root of 42305808 is about 348.4442733761. Note that the first 3 decimals are identical.

The spelling of 42305808 in words is "forty-two million, three hundred five thousand, eight hundred eight".

Divisors: 1 2 3 4 6 8 12 16 24 43 48 86 103 129 172 199 206 258 309 344 398 412 516 597 618 688 796 824 1032 1194 1236 1592 1648 2064 2388 2472 3184 4429 4776 4944 8557 8858 9552 13287 17114 17716 20497 25671 26574 34228 35432 40994 51342 53148 61491 68456 70864 81988 102684 106296 122982 136912 163976 205368 212592 245964 327952 410736 491928 881371 983856 1762742 2644113 3525484 5288226 7050968 10576452 14101936 21152904 42305808