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10442388 = 22311239331
BaseRepresentation
bin100111110101…
…011010010100
3201122112021010
4213311122110
510133124023
61011452220
7154521165
oct47653224
921575233
1010442388
115992580
1235b7070
132218038
14155b76c
15db4093
hex9f5694

10442388 has 48 divisors (see below), whose sum is σ = 26772480. Its totient is φ = 3141600.

The previous prime is 10442363. The next prime is 10442401. The reversal of 10442388 is 88324401.

It is a Smith number, since the sum of its digits (30) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 31383 + ... + 31713.

It is an arithmetic number, because the mean of its divisors is an integer number (557760).

Almost surely, 210442388 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 10442388, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13386240).

10442388 is an abundant number, since it is smaller than the sum of its proper divisors (16330092).

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

10442388 is a wasteful number, since it uses less digits than its factorization.

10442388 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 588 (or 586 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 30.

The square root of 10442388 is about 3231.4683968747. The cubic root of 10442388 is about 218.5747256663.

Adding to 10442388 its reverse (88324401), we get a palindrome (98766789).

The spelling of 10442388 in words is "ten million, four hundred forty-two thousand, three hundred eighty-eight".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 132 239 331 478 662 717 956 993 1324 1434 1986 2629 2868 3641 3972 5258 7282 7887 10516 10923 14564 15774 21846 31548 43692 79109 158218 237327 316436 474654 870199 949308 1740398 2610597 3480796 5221194 10442388