[go: up one dir, main page]

Search a number
-
+
48381408 = 253355997
BaseRepresentation
bin1011100010001…
…1110111100000
310101001000211000
42320203313200
544341201113
64444552000
71125143445
oct270436740
9111030730
1048381408
1125345739
1214252600
13a03c76a
1465d59cc
1543aa373
hex2e23de0

48381408 has 48 divisors (see below), whose sum is σ = 141114960. Its totient is φ = 16126848.

The previous prime is 48381383. The next prime is 48381409. The reversal of 48381408 is 80418384.

48381408 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 (48).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48381409) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 27135 + ... + 28862.

It is an arithmetic number, because the mean of its divisors is an integer number (2939895).

Almost surely, 248381408 is an apocalyptic number.

48381408 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

48381408 is an abundant number, since it is smaller than the sum of its proper divisors (92733552).

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

48381408 is a wasteful number, since it uses less digits than its factorization.

48381408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56016 (or 56002 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 36.

The square root of 48381408 is about 6955.6745179745. The cubic root of 48381408 is about 364.3841695325.

The spelling of 48381408 in words is "forty-eight million, three hundred eighty-one thousand, four hundred eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 96 108 144 216 288 432 864 55997 111994 167991 223988 335982 447976 503973 671964 895952 1007946 1343928 1511919 1791904 2015892 2687856 3023838 4031784 5375712 6047676 8063568 12095352 16127136 24190704 48381408