Search a number
-
+
11933952 = 28341379
BaseRepresentation
bin101101100001…
…100100000000
3211110022022020
4231201210000
511023341302
61103441440
7203302602
oct55414400
924408266
1011933952
116811178
123bb6280
13261ac14
141829172
1510aaebc
hexb61900

11933952 has 72 divisors (see below), whose sum is σ = 32622240. Its totient is φ = 3870720.

The previous prime is 11933951. The next prime is 11933963. The reversal of 11933952 is 25933911.

It is not an unprimeable number, because it can be changed into a prime (11933951) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 31299 + ... + 31677.

Almost surely, 211933952 is an apocalyptic number.

11933952 is a gapful number since it is divisible by the number (12) 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 11933952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16311120).

11933952 is an abundant number, since it is smaller than the sum of its proper divisors (20688288).

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

11933952 is an equidigital number, since it uses as much as digits as its factorization.

11933952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 439 (or 425 counting only the distinct ones).

The product of its digits is 7290, while the sum is 33.

The square root of 11933952 is about 3454.5552535746. Note that the first 3 decimals coincide. The cubic root of 11933952 is about 228.5220417108.

The spelling of 11933952 in words is "eleven million, nine hundred thirty-three thousand, nine hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 41 48 64 82 96 123 128 164 192 246 256 328 379 384 492 656 758 768 984 1137 1312 1516 1968 2274 2624 3032 3936 4548 5248 6064 7872 9096 10496 12128 15539 15744 18192 24256 31078 31488 36384 46617 48512 62156 72768 93234 97024 124312 145536 186468 248624 291072 372936 497248 745872 994496 1491744 1988992 2983488 3977984 5966976 11933952