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42305445 = 32571310331
BaseRepresentation
bin1010000101100…
…0011110100101
32221121100011100
42201120132211
541312233240
64110430313
71022406330
oct241303645
987540140
1042305445
1121975786
1212202399
1389c3010
145893617
153aa9e30
hex28587a5

42305445 has 48 divisors (see below), whose sum is σ = 90260352. Its totient is φ = 17850240.

The previous prime is 42305443. The next prime is 42305447. The reversal of 42305445 is 54450324.

It is an interprime number because it is at equal distance from previous prime (42305443) and next prime (42305447).

It is not a de Polignac number, because 42305445 - 21 = 42305443 is a prime.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42305443) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1071 + ... + 9260.

It is an arithmetic number, because the mean of its divisors is an integer number (1880424).

Almost surely, 242305445 is an apocalyptic number.

42305445 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

42305445 is an abundant number, since it is smaller than the sum of its proper divisors (47954907).

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

42305445 is a wasteful number, since it uses less digits than its factorization.

42305445 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10362 (or 10359 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 27.

The square root of 42305445 is about 6504.2636016693. The cubic root of 42305445 is about 348.4432767782.

Adding to 42305445 its reverse (54450324), we get a palindrome (96755769).

The spelling of 42305445 in words is "forty-two million, three hundred five thousand, four hundred forty-five".

Divisors: 1 3 5 7 9 13 15 21 35 39 45 63 65 91 105 117 195 273 315 455 585 819 1365 4095 10331 30993 51655 72317 92979 134303 154965 216951 361585 402909 464895 650853 671515 940121 1084755 1208727 2014545 2820363 3254265 4700605 6043635 8461089 14101815 42305445