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11882948 = 2271141941
BaseRepresentation
bin101101010101…
…000111000100
3211100201100012
4231111013010
511020223243
61102405352
7203001110
oct55250704
924321305
1011882948
116786920
123b90858
13260093c
141814740
15109ad18
hexb551c4

11882948 has 48 divisors (see below), whose sum is σ = 26587008. Its totient is φ = 4512000.

The previous prime is 11882947. The next prime is 11882977. The reversal of 11882948 is 84928811.

It is a Harshad number since it is a multiple of its sum of digits (41).

It is not an unprimeable number, because it can be changed into a prime (11882947) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 12158 + ... + 13098.

It is an arithmetic number, because the mean of its divisors is an integer number (553896).

Almost surely, 211882948 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 11882948, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13293504).

11882948 is an abundant number, since it is smaller than the sum of its proper divisors (14704060).

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

11882948 is a wasteful number, since it uses less digits than its factorization.

11882948 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1004 (or 1002 counting only the distinct ones).

The product of its digits is 36864, while the sum is 41.

The square root of 11882948 is about 3447.1652121707. The cubic root of 11882948 is about 228.1960199969.

The spelling of 11882948 in words is "eleven million, eight hundred eighty-two thousand, nine hundred forty-eight".

Divisors: 1 2 4 7 11 14 22 28 41 44 77 82 154 164 287 308 451 574 902 941 1148 1804 1882 3157 3764 6314 6587 10351 12628 13174 20702 26348 38581 41404 72457 77162 144914 154324 270067 289828 424391 540134 848782 1080268 1697564 2970737 5941474 11882948