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11000048 = 2429151157
BaseRepresentation
bin101001111101…
…100011110000
3202200212020012
4221331203300
510304000143
61031434052
7162333053
oct51754360
922625205
1011000048
116233554
123825928
132381b07
141664a9a
15e74418
hexa7d8f0

11000048 has 40 divisors (see below), whose sum is σ = 22334880. Its totient is φ = 5241600.

The previous prime is 11000027. The next prime is 11000053. The reversal of 11000048 is 84000011.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 10999996 and 11000041.

It is a congruent number.

It is an unprimeable number.

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, 69986 + ... + 70142.

It is an arithmetic number, because the mean of its divisors is an integer number (558372).

Almost surely, 211000048 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 11000048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11167440).

11000048 is an abundant number, since it is smaller than the sum of its proper divisors (11334832).

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

11000048 is a wasteful number, since it uses less digits than its factorization.

11000048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 345 (or 339 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

The square root of 11000048 is about 3316.6320266198. The cubic root of 11000048 is about 222.3983325445.

Adding to 11000048 its reverse (84000011), we get a palindrome (95000059).

The spelling of 11000048 in words is "eleven million, forty-eight", and thus it is an aban number and an uban number.

Divisors: 1 2 4 8 16 29 58 116 151 157 232 302 314 464 604 628 1208 1256 2416 2512 4379 4553 8758 9106 17516 18212 23707 35032 36424 47414 70064 72848 94828 189656 379312 687503 1375006 2750012 5500024 11000048