Search a number
-
+
54341748 = 223219531499
BaseRepresentation
bin1100111101001…
…1000001110100
310210020211212100
43033103001310
5102402413443
65220422100
71226616516
oct317230164
9123224770
1054341748
112874683a
1216247930
13b3486a6
147307bb6
154b863d3
hex33d3074

54341748 has 72 divisors (see below), whose sum is σ = 147420000. Its totient is φ = 16825536.

The previous prime is 54341731. The next prime is 54341753. The reversal of 54341748 is 84714345.

54341748 is a `hidden beast` number, since 543 + 41 + 74 + 8 = 666.

54341748 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 35503 + ... + 37001.

It is an arithmetic number, because the mean of its divisors is an integer number (2047500).

Almost surely, 254341748 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 54341748, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73710000).

54341748 is an abundant number, since it is smaller than the sum of its proper divisors (93078252).

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

54341748 is a wasteful number, since it uses less digits than its factorization.

54341748 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1581 (or 1576 counting only the distinct ones).

The product of its digits is 53760, while the sum is 36.

The square root of 54341748 is about 7371.6855603044. The cubic root of 54341748 is about 378.7720008133.

The spelling of 54341748 in words is "fifty-four million, three hundred forty-one thousand, seven hundred forty-eight".

Divisors: 1 2 3 4 6 9 12 18 19 36 38 53 57 76 106 114 159 171 212 228 318 342 477 636 684 954 1007 1499 1908 2014 2998 3021 4028 4497 5996 6042 8994 9063 12084 13491 17988 18126 26982 28481 36252 53964 56962 79447 85443 113924 158894 170886 238341 256329 317788 341772 476682 512658 715023 953364 1025316 1430046 1509493 2860092 3018986 4528479 6037972 9056958 13585437 18113916 27170874 54341748