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10442288 = 243137569
BaseRepresentation
bin100111110101…
…011000110000
3201122112010102
4213311120300
510133123123
61011451532
7154520663
oct47653060
921575112
1010442288
11599249a
1235b6ba8
132217c8c
14155b6da
15db4028
hex9f5630

10442288 has 40 divisors (see below), whose sum is σ = 21486720. Its totient is φ = 4907520.

The previous prime is 10442287. The next prime is 10442293. The reversal of 10442288 is 88224401.

10442288 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 10442288.

It is not an unprimeable number, because it can be changed into a prime (10442287) 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, 18068 + ... + 18636.

It is an arithmetic number, because the mean of its divisors is an integer number (537168).

Almost surely, 210442288 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 10442288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10743360).

10442288 is an abundant number, since it is smaller than the sum of its proper divisors (11044432).

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

10442288 is a wasteful number, since it uses less digits than its factorization.

10442288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 645 (or 639 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 29.

The square root of 10442288 is about 3231.4529239956. The cubic root of 10442288 is about 218.5740279477.

Adding to 10442288 its reverse (88224401), we get a palindrome (98666689).

The spelling of 10442288 in words is "ten million, four hundred forty-two thousand, two hundred eighty-eight".

Divisors: 1 2 4 8 16 31 37 62 74 124 148 248 296 496 569 592 1138 1147 2276 2294 4552 4588 9104 9176 17639 18352 21053 35278 42106 70556 84212 141112 168424 282224 336848 652643 1305286 2610572 5221144 10442288