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42435 = 3252341
BaseRepresentation
bin1010010111000011
32011012200
422113003
52324220
6524243
7234501
oct122703
964180
1042435
1129978
1220683
1316413
1411671
15c890
hexa5c3

42435 has 24 divisors (see below), whose sum is σ = 78624. Its totient is φ = 21120.

The previous prime is 42433. The next prime is 42437. The reversal of 42435 is 53424.

It is a happy number.

42435 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a Cunningham number, because it is equal to 2062-1.

It is an interprime number because it is at equal distance from previous prime (42433) and next prime (42437).

It is not a de Polignac number, because 42435 - 21 = 42433 is a prime.

It is a hoax number, since the sum of its digits (18) coincides with the sum of the digits of its distinct prime factors.

42435 is a lucky number.

It is not an unprimeable number, because it can be changed into a prime (42433) 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, 1015 + ... + 1055.

It is an arithmetic number, because the mean of its divisors is an integer number (3276).

242435 is an apocalyptic number.

42435 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

42435 is a deficient number, since it is larger than the sum of its proper divisors (36189).

42435 is a wasteful number, since it uses less digits than its factorization.

42435 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75 (or 72 counting only the distinct ones).

The product of its digits is 480, while the sum is 18.

The square root of 42435 is about 205.9975728012. The cubic root of 42435 is about 34.8798601929.

Adding to 42435 its reverse (53424), we get a palindrome (95859).

The spelling of 42435 in words is "forty-two thousand, four hundred thirty-five".

Divisors: 1 3 5 9 15 23 41 45 69 115 123 205 207 345 369 615 943 1035 1845 2829 4715 8487 14145 42435