Search a number
-
+
42324432 = 2435031753
BaseRepresentation
bin1010000101110…
…1000111010000
32221122022012120
42201131013100
541313340212
64111054240
71022515563
oct241350720
987568176
1042324432
1121988a77
1212211380
1389cb857
14589a4da
153ab088c
hex285d1d0

42324432 has 40 divisors (see below), whose sum is σ = 109617984. Its totient is φ = 14072064.

The previous prime is 42324431. The next prime is 42324479. The reversal of 42324432 is 23442324.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42324431) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 23268 + ... + 25020.

Almost surely, 242324432 is an apocalyptic number.

It is an amenable number.

42324432 is an abundant number, since it is smaller than the sum of its proper divisors (67293552).

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

42324432 is a wasteful number, since it uses less digits than its factorization.

42324432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2267 (or 2261 counting only the distinct ones).

The product of its digits is 4608, while the sum is 24.

The square root of 42324432 is about 6505.7230190041. The cubic root of 42324432 is about 348.4953969642.

Adding to 42324432 its reverse (23442324), we get a palindrome (65766756).

The spelling of 42324432 in words is "forty-two million, three hundred twenty-four thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 48 503 1006 1509 1753 2012 3018 3506 4024 5259 6036 7012 8048 10518 12072 14024 21036 24144 28048 42072 84144 881759 1763518 2645277 3527036 5290554 7054072 10581108 14108144 21162216 42324432