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10442432 = 2671113163
BaseRepresentation
bin100111110101…
…011011000000
3201122112022202
4213311123000
510133124212
61011452332
7154521260
oct47653300
921575282
1010442432
115992610
1235b70a8
132218070
14155b7a0
15db40c2
hex9f56c0

10442432 has 112 divisors (see below), whose sum is σ = 27992832. Its totient is φ = 3732480.

The previous prime is 10442401. The next prime is 10442461. The reversal of 10442432 is 23424401.

10442432 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (112).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 63983 + ... + 64145.

It is an arithmetic number, because the mean of its divisors is an integer number (249936).

Almost surely, 210442432 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 10442432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13996416).

10442432 is an abundant number, since it is smaller than the sum of its proper divisors (17550400).

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

10442432 is a wasteful number, since it uses less digits than its factorization.

10442432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 206 (or 196 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

The square root of 10442432 is about 3231.4752049180. The cubic root of 10442432 is about 218.5750326610.

Adding to 10442432 its reverse (23424401), we get a palindrome (33866833).

The spelling of 10442432 in words is "ten million, four hundred forty-two thousand, four hundred thirty-two".

Divisors: 1 2 4 7 8 11 13 14 16 22 26 28 32 44 52 56 64 77 88 91 104 112 143 154 163 176 182 208 224 286 308 326 352 364 416 448 572 616 652 704 728 832 1001 1141 1144 1232 1304 1456 1793 2002 2119 2282 2288 2464 2608 2912 3586 4004 4238 4564 4576 4928 5216 5824 7172 8008 8476 9128 9152 10432 12551 14344 14833 16016 16952 18256 23309 25102 28688 29666 32032 33904 36512 46618 50204 57376 59332 64064 67808 73024 93236 100408 114752 118664 135616 163163 186472 200816 237328 326326 372944 401632 474656 652652 745888 803264 949312 1305304 1491776 2610608 5221216 10442432