Search a number
-
+
12048336 = 2432312699
BaseRepresentation
bin101101111101…
…011111010000
3211200010012200
4231331133100
511041021321
61110123200
7204260226
oct55753720
924603180
1012048336
11688a103
124050500
13265acc1
141858b16
1510ced26
hexb7d7d0

12048336 has 60 divisors (see below), whose sum is σ = 34819200. Its totient is φ = 3885120.

The previous prime is 12048329. The next prime is 12048341. The reversal of 12048336 is 63384021.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3115 + ... + 5813.

It is an arithmetic number, because the mean of its divisors is an integer number (580320).

Almost surely, 212048336 is an apocalyptic number.

12048336 is a gapful number since it is divisible by the number (16) 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 12048336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17409600).

12048336 is an abundant number, since it is smaller than the sum of its proper divisors (22770864).

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

12048336 is a wasteful number, since it uses less digits than its factorization.

12048336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2744 (or 2735 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 12048336 is about 3471.0713043670. The cubic root of 12048336 is about 229.2498306355.

The spelling of 12048336 in words is "twelve million, forty-eight thousand, three hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 31 36 48 62 72 93 124 144 186 248 279 372 496 558 744 1116 1488 2232 2699 4464 5398 8097 10796 16194 21592 24291 32388 43184 48582 64776 83669 97164 129552 167338 194328 251007 334676 388656 502014 669352 753021 1004028 1338704 1506042 2008056 3012084 4016112 6024168 12048336