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11058048 = 273229331
BaseRepresentation
bin101010001011…
…101110000000
3202210210210100
4222023232000
510312324143
61033002400
7162664131
oct52135600
922723710
1011058048
116273091
123853400
1323a2331
14167bc88
15e866d3
hexa8bb80

11058048 has 96 divisors (see below), whose sum is σ = 33017400. Its totient is φ = 3548160.

The previous prime is 11058043. The next prime is 11058059. The reversal of 11058048 is 84085011.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11058043) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 33243 + ... + 33573.

Almost surely, 211058048 is an apocalyptic number.

11058048 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11058048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16508700).

11058048 is an abundant number, since it is smaller than the sum of its proper divisors (21959352).

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

11058048 is a wasteful number, since it uses less digits than its factorization.

11058048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 380 (or 365 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 27.

The square root of 11058048 is about 3325.3643409407. The cubic root of 11058048 is about 222.7885277634.

The spelling of 11058048 in words is "eleven million, fifty-eight thousand, forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 29 32 36 48 58 64 72 87 96 116 128 144 174 192 232 261 288 331 348 384 464 522 576 662 696 928 993 1044 1152 1324 1392 1856 1986 2088 2648 2784 2979 3712 3972 4176 5296 5568 5958 7944 8352 9599 10592 11136 11916 15888 16704 19198 21184 23832 28797 31776 33408 38396 42368 47664 57594 63552 76792 86391 95328 115188 127104 153584 172782 190656 230376 307168 345564 381312 460752 614336 691128 921504 1228672 1382256 1843008 2764512 3686016 5529024 11058048