Search a number
-
+
42305900 = 22527134649
BaseRepresentation
bin1010000101100…
…0100101101100
32221121100210012
42201120211230
541312242100
64110432352
71022410550
oct241304554
987540705
1042305900
112197605a
12122026b8
1389c32a0
145893860
153aaa135
hex285896c

42305900 has 72 divisors (see below), whose sum is σ = 113013600. Its totient is φ = 13386240.

The previous prime is 42305881. The next prime is 42305959. The reversal of 42305900 is 950324.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6776 + ... + 11424.

Almost surely, 242305900 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 42305900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56506800).

42305900 is an abundant number, since it is smaller than the sum of its proper divisors (70707700).

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

42305900 is a wasteful number, since it uses less digits than its factorization.

42305900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4683 (or 4676 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 23.

The square root of 42305900 is about 6504.2985786324. The cubic root of 42305900 is about 348.4445259564. Note that the first 3 decimals are identical.

The spelling of 42305900 in words is "forty-two million, three hundred five thousand, nine hundred".

Divisors: 1 2 4 5 7 10 13 14 20 25 26 28 35 50 52 65 70 91 100 130 140 175 182 260 325 350 364 455 650 700 910 1300 1820 2275 4550 4649 9100 9298 18596 23245 32543 46490 60437 65086 92980 116225 120874 130172 162715 232450 241748 302185 325430 423059 464900 604370 650860 813575 846118 1208740 1510925 1627150 1692236 2115295 3021850 3254300 4230590 6043700 8461180 10576475 21152950 42305900