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11442888 = 23321031543
BaseRepresentation
bin101011101001…
…101011001000
3210112100200200
4223221223020
510412133023
61045132200
7166156122
oct53515310
923470620
1011442888
116506236
1239ba060
1324a8552
14173c212
151010743
hexae9ac8

11442888 has 48 divisors (see below), whose sum is σ = 31312320. Its totient is φ = 3774816.

The previous prime is 11442881. The next prime is 11442889. The reversal of 11442888 is 88824411.

It is a happy number.

11442888 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (11442881) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6645 + ... + 8187.

It is an arithmetic number, because the mean of its divisors is an integer number (652340).

Almost surely, 211442888 is an apocalyptic number.

11442888 is a gapful number since it is divisible by the number (18) 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 11442888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15656160).

11442888 is an abundant number, since it is smaller than the sum of its proper divisors (19869432).

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

11442888 is a wasteful number, since it uses less digits than its factorization.

11442888 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1658 (or 1651 counting only the distinct ones).

The product of its digits is 16384, while the sum is 36.

The square root of 11442888 is about 3382.7338056667. The cubic root of 11442888 is about 225.3435935557.

The spelling of 11442888 in words is "eleven million, four hundred forty-two thousand, eight hundred eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 103 206 309 412 618 824 927 1236 1543 1854 2472 3086 3708 4629 6172 7416 9258 12344 13887 18516 27774 37032 55548 111096 158929 317858 476787 635716 953574 1271432 1430361 1907148 2860722 3814296 5721444 11442888