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11882046 = 2311414391
BaseRepresentation
bin101101010100…
…111000111110
3211100200002210
4231110320332
511020211141
61102401250
7202665351
oct55247076
924320083
1011882046
116786180
123b90226
1326003c7
141814298
15109a916
hexb54e3e

11882046 has 32 divisors (see below), whose sum is σ = 26562816. Its totient is φ = 3512000.

The previous prime is 11881957. The next prime is 11882071. The reversal of 11882046 is 64028811.

It is a super-2 number, since 2×118820462 = 282366034292232, which contains 22 as substring.

It is a congruent number.

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, 511 + ... + 4901.

It is an arithmetic number, because the mean of its divisors is an integer number (830088).

Almost surely, 211882046 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11882046, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13281408).

11882046 is an abundant number, since it is smaller than the sum of its proper divisors (14680770).

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

11882046 is a wasteful number, since it uses less digits than its factorization.

11882046 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4448.

The product of its (nonzero) digits is 3072, while the sum is 30.

The square root of 11882046 is about 3447.0343775483. The cubic root of 11882046 is about 228.1902459522.

The spelling of 11882046 in words is "eleven million, eight hundred eighty-two thousand, forty-six".

Divisors: 1 2 3 6 11 22 33 41 66 82 123 246 451 902 1353 2706 4391 8782 13173 26346 48301 96602 144903 180031 289806 360062 540093 1080186 1980341 3960682 5941023 11882046