Search a number
-
+
12038432 = 257223241
BaseRepresentation
bin101101111011…
…000100100000
3211122121121212
4231323010200
511040212212
61110005252
7204216320
oct55730440
924577555
1012038432
11688271a
124046828
132656643
141855280
1510cbe22
hexb7b120

12038432 has 48 divisors (see below), whose sum is σ = 27320832. Its totient is φ = 5114880.

The previous prime is 12038423. The next prime is 12038437. The reversal of 12038432 is 23483021.

It is a hoax number, since the sum of its digits (23) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 12038398 and 12038407.

It is not an unprimeable number, because it can be changed into a prime (12038437) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 49832 + ... + 50072.

It is an arithmetic number, because the mean of its divisors is an integer number (569184).

Almost surely, 212038432 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 12038432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13660416).

12038432 is an abundant number, since it is smaller than the sum of its proper divisors (15282400).

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

12038432 is a wasteful number, since it uses less digits than its factorization.

12038432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 481 (or 473 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 23.

The square root of 12038432 is about 3469.6443621789. The cubic root of 12038432 is about 229.1869972633.

The spelling of 12038432 in words is "twelve million, thirty-eight thousand, four hundred thirty-two".

Divisors: 1 2 4 7 8 14 16 28 32 56 112 223 224 241 446 482 892 964 1561 1687 1784 1928 3122 3374 3568 3856 6244 6748 7136 7712 12488 13496 24976 26992 49952 53743 53984 107486 214972 376201 429944 752402 859888 1504804 1719776 3009608 6019216 12038432