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11882416 = 247138161
BaseRepresentation
bin101101010100…
…111110110000
3211100200121111
4231110332300
511020214131
61102403104
7202666420
oct55247660
924320544
1011882416
116786487
123b90494
132600620
141814480
15109aab1
hexb54fb0

11882416 has 40 divisors (see below), whose sum is σ = 28338464. Its totient is φ = 4700160.

The previous prime is 11882411. The next prime is 11882443. The reversal of 11882416 is 61428811.

It is not an unprimeable number, because it can be changed into a prime (11882411) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2625 + ... + 5536.

Almost surely, 211882416 is an apocalyptic number.

11882416 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

11882416 is an abundant number, since it is smaller than the sum of its proper divisors (16456048).

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

11882416 is a wasteful number, since it uses less digits than its factorization.

11882416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8189 (or 8183 counting only the distinct ones).

The product of its digits is 3072, while the sum is 31.

The square root of 11882416 is about 3447.0880464531. The cubic root of 11882416 is about 228.1926144982.

The spelling of 11882416 in words is "eleven million, eight hundred eighty-two thousand, four hundred sixteen".

Divisors: 1 2 4 7 8 13 14 16 26 28 52 56 91 104 112 182 208 364 728 1456 8161 16322 32644 57127 65288 106093 114254 130576 212186 228508 424372 457016 742651 848744 914032 1485302 1697488 2970604 5941208 11882416