Search a number
-
+
42272232 = 2338321221
BaseRepresentation
bin1010000101000…
…0010111101000
32221112122121020
42201100113220
541310202412
64110012440
71022210442
oct241202750
987478536
1042272232
1121952832
12121a7120
1389b0b72
145885492
153aa018c
hex28505e8

42272232 has 32 divisors (see below), whose sum is σ = 106958880. Its totient is φ = 13920320.

The previous prime is 42272231. The next prime is 42272233. The reversal of 42272232 is 23227224.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (42272231) and next prime (42272233).

It is a hoax number, since the sum of its digits (24) coincides with the sum of the digits of its distinct prime factors.

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

It is not an unprimeable number, because it can be changed into a prime (42272231) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8619 + ... + 12602.

It is an arithmetic number, because the mean of its divisors is an integer number (3342465).

Almost surely, 242272232 is an apocalyptic number.

It is an amenable number.

42272232 is an abundant number, since it is smaller than the sum of its proper divisors (64686648).

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

42272232 is a wasteful number, since it uses less digits than its factorization.

42272232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21313 (or 21309 counting only the distinct ones).

The product of its digits is 2688, while the sum is 24.

The square root of 42272232 is about 6501.7099289341. The cubic root of 42272232 is about 348.3520680587.

Adding to 42272232 its reverse (23227224), we get a palindrome (65499456).

The spelling of 42272232 in words is "forty-two million, two hundred seventy-two thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 24 83 166 249 332 498 664 996 1992 21221 42442 63663 84884 127326 169768 254652 509304 1761343 3522686 5284029 7045372 10568058 14090744 21136116 42272232