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11217808 = 247372707
BaseRepresentation
bin101010110010…
…101110010000
3210002220221101
4222302232100
510332432213
61040234144
7164230660
oct52625620
923086841
1011217808
116372118
12390b954
132429c74
1416c01a0
15eb8bdd
hexab2b90

11217808 has 40 divisors (see below), whose sum is σ = 25520192. Its totient is φ = 4675968.

The previous prime is 11217799. The next prime is 11217853. The reversal of 11217808 is 80871211.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2791 + ... + 5497.

Almost surely, 211217808 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 11217808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12760096).

11217808 is an abundant number, since it is smaller than the sum of its proper divisors (14302384).

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

11217808 is a wasteful number, since it uses less digits than its factorization.

11217808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2759 (or 2753 counting only the distinct ones).

The product of its (nonzero) digits is 896, while the sum is 28.

The square root of 11217808 is about 3349.2996282805. The cubic root of 11217808 is about 223.8563066517.

The spelling of 11217808 in words is "eleven million, two hundred seventeen thousand, eight hundred eight".

Divisors: 1 2 4 7 8 14 16 28 37 56 74 112 148 259 296 518 592 1036 2072 2707 4144 5414 10828 18949 21656 37898 43312 75796 100159 151592 200318 303184 400636 701113 801272 1402226 1602544 2804452 5608904 11217808