Search a number
-
+
11885472 = 253241269
BaseRepresentation
bin101101010101…
…101110100000
3211100211210200
4231111232200
511020313342
61102425200
7203011344
oct55255640
924324720
1011885472
116788805
123b92200
132601b31
141815624
15109b94c
hexb55ba0

11885472 has 36 divisors (see below), whose sum is σ = 33800130. Its totient is φ = 3961728.

The previous prime is 11885459. The next prime is 11885513. The reversal of 11885472 is 27458811.

11885472 is a `hidden beast` number, since 1 + 188 + 5 + 472 = 666.

11885472 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 11861136 + 24336 = 3444^2 + 156^2 .

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

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 20347 + ... + 20922.

Almost surely, 211885472 is an apocalyptic number.

11885472 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

11885472 is an abundant number, since it is smaller than the sum of its proper divisors (21914658).

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

11885472 is a wasteful number, since it uses less digits than its factorization.

11885472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41285 (or 41274 counting only the distinct ones).

The product of its digits is 17920, while the sum is 36.

The square root of 11885472 is about 3447.5312906484. The cubic root of 11885472 is about 228.2121755272.

The spelling of 11885472 in words is "eleven million, eight hundred eighty-five thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 41269 82538 123807 165076 247614 330152 371421 495228 660304 742842 990456 1320608 1485684 1980912 2971368 3961824 5942736 11885472