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11882928 = 243281881
BaseRepresentation
bin101101010101…
…000110110000
3211100201022110
4231111012300
511020223203
61102405320
7203001051
oct55250660
924321273
1011882928
116786902
123b90840
132600925
141814728
15109ad03
hexb551b0

11882928 has 40 divisors (see below), whose sum is σ = 30841776. Its totient is φ = 3942400.

The previous prime is 11882917. The next prime is 11882929. The reversal of 11882928 is 82928811.

It is a Smith number, since the sum of its digits (39) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (11882929) 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 7 ways as a sum of consecutive naturals, for example, 13048 + ... + 13928.

Almost surely, 211882928 is an apocalyptic number.

It is an amenable number.

11882928 is an abundant number, since it is smaller than the sum of its proper divisors (18958848).

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

11882928 is a wasteful number, since it uses less digits than its factorization.

11882928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1173 (or 1167 counting only the distinct ones).

The product of its digits is 18432, while the sum is 39.

The square root of 11882928 is about 3447.1623112351. The cubic root of 11882928 is about 228.1958919725.

The spelling of 11882928 in words is "eleven million, eight hundred eighty-two thousand, nine hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 48 281 562 843 881 1124 1686 1762 2248 2643 3372 3524 4496 5286 6744 7048 10572 13488 14096 21144 42288 247561 495122 742683 990244 1485366 1980488 2970732 3960976 5941464 11882928