Search a number
-
+
10442256 = 2431119777
BaseRepresentation
bin100111110101…
…011000010000
3201122112002020
4213311120100
510133123011
61011451440
7154520616
oct47653020
921575066
1010442256
115992470
1235b6b80
132217c66
14155b6b6
15db4006
hex9f5610

10442256 has 40 divisors (see below), whose sum is σ = 29429664. Its totient is φ = 3164160.

The previous prime is 10442239. The next prime is 10442261. The reversal of 10442256 is 65224401.

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

It is an unprimeable number.

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, 9361 + ... + 10416.

Almost surely, 210442256 is an apocalyptic number.

10442256 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

10442256 is an abundant number, since it is smaller than the sum of its proper divisors (18987408).

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

10442256 is a wasteful number, since it uses less digits than its factorization.

10442256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19799 (or 19793 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

The square root of 10442256 is about 3231.4479726587. The cubic root of 10442256 is about 218.5738046769.

Adding to 10442256 its reverse (65224401), we get a palindrome (75666657).

The spelling of 10442256 in words is "ten million, four hundred forty-two thousand, two hundred fifty-six".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 44 48 66 88 132 176 264 528 19777 39554 59331 79108 118662 158216 217547 237324 316432 435094 474648 652641 870188 949296 1305282 1740376 2610564 3480752 5221128 10442256