[go: up one dir, main page]

Search a number
-
+
12236448 = 2537131139
BaseRepresentation
bin101110101011…
…011010100000
3212000200020210
4232223122200
511113031243
61114134120
7206002530
oct56533240
925020223
1012236448
1169a8474
124121340
1326c5803
1418a74c0
15111a933
hexbab6a0

12236448 has 96 divisors (see below), whose sum is σ = 37255680. Its totient is φ = 3444480.

The previous prime is 12236401. The next prime is 12236459. The reversal of 12236448 is 84463221.

12236448 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 87963 + ... + 88101.

It is an arithmetic number, because the mean of its divisors is an integer number (388080).

Almost surely, 212236448 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 12236448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18627840).

12236448 is an abundant number, since it is smaller than the sum of its proper divisors (25019232).

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

12236448 is a wasteful number, since it uses less digits than its factorization.

12236448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 290 (or 282 counting only the distinct ones).

The product of its digits is 9216, while the sum is 30.

The square root of 12236448 is about 3498.0634642613. The cubic root of 12236448 is about 230.4367755726.

Adding to 12236448 its reverse (84463221), we get a palindrome (96699669).

The spelling of 12236448 in words is "twelve million, two hundred thirty-six thousand, four hundred forty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 84 96 112 131 139 168 224 262 278 336 393 417 524 556 672 786 834 917 973 1048 1112 1572 1668 1834 1946 2096 2224 2751 2919 3144 3336 3668 3892 4192 4448 5502 5838 6288 6672 7336 7784 11004 11676 12576 13344 14672 15568 18209 22008 23352 29344 31136 36418 44016 46704 54627 72836 88032 93408 109254 127463 145672 218508 254926 291344 382389 437016 509852 582688 764778 874032 1019704 1529556 1748064 2039408 3059112 4078816 6118224 12236448