Search a number
-
+
42771375 = 3353192329
BaseRepresentation
bin1010001100101…
…0001110101111
32222111000022000
42203022032233
541422141000
64124423343
71026356613
oct243121657
988430260
1042771375
1122163849
12123a7b53
138b2710a
145975343
153b4d000
hex28ca3af

42771375 has 128 divisors (see below), whose sum is σ = 89856000. Its totient is φ = 19958400.

The previous prime is 42771361. The next prime is 42771383. The reversal of 42771375 is 57317724.

It is not a de Polignac number, because 42771375 - 24 = 42771359 is a prime.

It is a zygodrome in base 3.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1474861 + ... + 1474889.

It is an arithmetic number, because the mean of its divisors is an integer number (702000).

Almost surely, 242771375 is an apocalyptic number.

42771375 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

42771375 is an abundant number, since it is smaller than the sum of its proper divisors (47084625).

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

42771375 is a wasteful number, since it uses less digits than its factorization.

42771375 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 95 (or 79 counting only the distinct ones).

The product of its digits is 41160, while the sum is 36.

The square root of 42771375 is about 6539.9827981425. The cubic root of 42771375 is about 349.7177997378.

The spelling of 42771375 in words is "forty-two million, seven hundred seventy-one thousand, three hundred seventy-five".

Divisors: 1 3 5 9 15 19 23 25 27 29 45 57 69 75 87 95 115 125 135 145 171 207 225 261 285 345 375 435 437 475 513 551 575 621 667 675 725 783 855 1035 1125 1305 1311 1425 1653 1725 2001 2175 2185 2375 2565 2755 2875 3105 3335 3375 3625 3915 3933 4275 4959 5175 6003 6525 6555 7125 8265 8625 10005 10875 10925 11799 12673 12825 13775 14877 15525 16675 18009 19575 19665 21375 24795 25875 30015 32625 32775 38019 41325 50025 54625 58995 63365 64125 68875 74385 77625 83375 90045 97875 98325 114057 123975 150075 163875 190095 206625 250125 294975 316825 342171 371925 450225 491625 570285 619875 750375 950475 1474875 1584125 1710855 1859625 2251125 2851425 4752375 8554275 14257125 42771375