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11442432 = 28347317
BaseRepresentation
bin101011101001…
…100100000000
3210112100001210
4223221210000
510412124212
61045130120
7166154601
oct53514400
923470053
1011442432
116505961
1239b9940
1324a8291
14173bda8
15101053c
hexae9900

11442432 has 72 divisors (see below), whose sum is σ = 31199616. Its totient is φ = 3721216.

The previous prime is 11442419. The next prime is 11442449. The reversal of 11442432 is 23424411.

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 11442399 and 11442408.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 35938 + ... + 36254.

It is an arithmetic number, because the mean of its divisors is an integer number (433328).

Almost surely, 211442432 is an apocalyptic number.

11442432 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11442432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15599808).

11442432 is an abundant number, since it is smaller than the sum of its proper divisors (19757184).

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

11442432 is an equidigital number, since it uses as much as digits as its factorization.

11442432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 383 (or 369 counting only the distinct ones).

The product of its digits is 768, while the sum is 21.

The square root of 11442432 is about 3382.6664038891. Note that the first 3 decimals coincide. The cubic root of 11442432 is about 225.3406001959.

Adding to 11442432 its reverse (23424411), we get a palindrome (34866843).

The spelling of 11442432 in words is "eleven million, four hundred forty-two thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 47 48 64 94 96 128 141 188 192 256 282 317 376 384 564 634 752 768 951 1128 1268 1504 1902 2256 2536 3008 3804 4512 5072 6016 7608 9024 10144 12032 14899 15216 18048 20288 29798 30432 36096 40576 44697 59596 60864 81152 89394 119192 121728 178788 238384 243456 357576 476768 715152 953536 1430304 1907072 2860608 3814144 5721216 11442432