Search a number
-
+
11838048 = 253317389
BaseRepresentation
bin101101001010…
…001001100000
3211021102202020
4231022021200
511012304143
61101421440
7202423155
oct55121140
924242666
1011838048
116756112
123b6a880
1325b6381
14180222c
15108c883
hexb4a260

11838048 has 48 divisors (see below), whose sum is σ = 31253040. Its totient is φ = 3923456.

The previous prime is 11838023. The next prime is 11838049. The reversal of 11838048 is 84083811.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11838049) 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, 30238 + ... + 30626.

It is an arithmetic number, because the mean of its divisors is an integer number (651105).

Almost surely, 211838048 is an apocalyptic number.

It is an amenable number.

11838048 is an abundant number, since it is smaller than the sum of its proper divisors (19414992).

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

11838048 is a wasteful number, since it uses less digits than its factorization.

11838048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 719 (or 711 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 33.

The square root of 11838048 is about 3440.6464508868. The cubic root of 11838048 is about 227.9082425482.

The spelling of 11838048 in words is "eleven million, eight hundred thirty-eight thousand, forty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 317 389 634 778 951 1167 1268 1556 1902 2334 2536 3112 3804 4668 5072 6224 7608 9336 10144 12448 15216 18672 30432 37344 123313 246626 369939 493252 739878 986504 1479756 1973008 2959512 3946016 5919024 11838048