Search a number
-
+
42348432 = 2437126037
BaseRepresentation
bin1010000110001…
…0111110010000
32221200112010110
42201202332100
541320122212
64111401320
71022645550
oct241427620
987615113
1042348432
11219a5005
1212223240
138a09759
1458a5160
153ab7a3c
hex2862f90

42348432 has 40 divisors (see below), whose sum is σ = 125029696. Its totient is φ = 12099456.

The previous prime is 42348419. The next prime is 42348437. The reversal of 42348432 is 23484324.

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

It is a self number, because there is not a number n which added to its sum of digits gives 42348432.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42348437) 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, 62683 + ... + 63354.

Almost surely, 242348432 is an apocalyptic number.

42348432 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

42348432 is an abundant number, since it is smaller than the sum of its proper divisors (82681264).

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

42348432 is a wasteful number, since it uses less digits than its factorization.

42348432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126055 (or 126049 counting only the distinct ones).

The product of its digits is 18432, while the sum is 30.

The square root of 42348432 is about 6507.5672873970. The cubic root of 42348432 is about 348.5612557659.

The spelling of 42348432 in words is "forty-two million, three hundred forty-eight thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 84 112 168 336 126037 252074 378111 504148 756222 882259 1008296 1512444 1764518 2016592 2646777 3024888 3529036 5293554 6049776 7058072 10587108 14116144 21174216 42348432