Search a number
-
+
10442272 = 254753131
BaseRepresentation
bin100111110101…
…011000100000
3201122112002211
4213311120200
510133123042
61011451504
7154520641
oct47653040
921575084
1010442272
115992485
1235b6b94
132217c79
14155b6c8
15db4017
hex9f5620

10442272 has 48 divisors (see below), whose sum is σ = 21555072. Its totient is φ = 4975360.

The previous prime is 10442261. The next prime is 10442273. The reversal of 10442272 is 27224401.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (10442273) 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, 79647 + ... + 79777.

It is an arithmetic number, because the mean of its divisors is an integer number (449064).

Almost surely, 210442272 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10442272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10777536).

10442272 is an abundant number, since it is smaller than the sum of its proper divisors (11112800).

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

10442272 is a wasteful number, since it uses less digits than its factorization.

10442272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 241 (or 233 counting only the distinct ones).

The product of its (nonzero) digits is 896, while the sum is 22.

The square root of 10442272 is about 3231.4504483281. The cubic root of 10442272 is about 218.5739163124.

Adding to 10442272 its reverse (27224401), we get a palindrome (37666673).

The spelling of 10442272 in words is "ten million, four hundred forty-two thousand, two hundred seventy-two".

Divisors: 1 2 4 8 16 32 47 53 94 106 131 188 212 262 376 424 524 752 848 1048 1504 1696 2096 2491 4192 4982 6157 6943 9964 12314 13886 19928 24628 27772 39856 49256 55544 79712 98512 111088 197024 222176 326321 652642 1305284 2610568 5221136 10442272