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11852192 = 251123061
BaseRepresentation
bin101101001101…
…100110100000
3211022011011002
4231031212200
511013232232
61102011132
7202512332
oct55154640
924264132
1011852192
116765800
123b76aa8
1325bc941
141807452
151091b62
hexb4d9a0

11852192 has 36 divisors (see below), whose sum is σ = 25656498. Its totient is φ = 5385600.

The previous prime is 11852177. The next prime is 11852209. The reversal of 11852192 is 29125811.

It can be written as a sum of positive squares in only one way, i.e., 7203856 + 4648336 = 2684^2 + 2156^2 .

It is an unprimeable number.

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 5 ways as a sum of consecutive naturals, for example, 2342 + ... + 5402.

Almost surely, 211852192 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 11852192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12828249).

11852192 is an abundant number, since it is smaller than the sum of its proper divisors (13804306).

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

11852192 is a wasteful number, since it uses less digits than its factorization.

11852192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3093 (or 3074 counting only the distinct ones).

The product of its digits is 1440, while the sum is 29.

The square root of 11852192 is about 3442.7012649953. The cubic root of 11852192 is about 227.9989740387.

The spelling of 11852192 in words is "eleven million, eight hundred fifty-two thousand, one hundred ninety-two".

Divisors: 1 2 4 8 11 16 22 32 44 88 121 176 242 352 484 968 1936 3061 3872 6122 12244 24488 33671 48976 67342 97952 134684 269368 370381 538736 740762 1077472 1481524 2963048 5926096 11852192