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11888928 = 253241281
BaseRepresentation
bin101101010110…
…100100100000
3211101000112200
4231112210200
511020421203
61102453200
7203024412
oct55264440
924330480
1011888928
116790367
123b94200
13260358c
1418169b2
15109c9a3
hexb56920

11888928 has 36 divisors (see below), whose sum is σ = 33809958. Its totient is φ = 3962880.

The previous prime is 11888917. The next prime is 11888939. The reversal of 11888928 is 82988811.

It is an interprime number because it is at equal distance from previous prime (11888917) and next prime (11888939).

It can be written as a sum of positive squares in only one way, i.e., 10419984 + 1468944 = 3228^2 + 1212^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 20353 + ... + 20928.

Almost surely, 211888928 is an apocalyptic number.

11888928 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

11888928 is an abundant number, since it is smaller than the sum of its proper divisors (21921030).

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

11888928 is a wasteful number, since it uses less digits than its factorization.

11888928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41297 (or 41286 counting only the distinct ones).

The product of its digits is 73728, while the sum is 45.

The square root of 11888928 is about 3448.0324824456. The cubic root of 11888928 is about 228.2342928608.

The spelling of 11888928 in words is "eleven million, eight hundred eighty-eight thousand, nine hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 41281 82562 123843 165124 247686 330248 371529 495372 660496 743058 990744 1320992 1486116 1981488 2972232 3962976 5944464 11888928