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54378945 = 345134269
BaseRepresentation
bin1100111101110…
…0000111000001
310210022201220000
43033130013001
5102410111240
65221310213
71230133125
oct317340701
9123281800
1054378945
1128771785
1216265369
13b35c5ba
147317585
154b92430
hex33dc1c1

54378945 has 20 divisors (see below), whose sum is σ = 97480020. Its totient is φ = 29001888.

The previous prime is 54378871. The next prime is 54378959. The reversal of 54378945 is 54987345.

54378945 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 37015056 + 17363889 = 6084^2 + 4167^2 .

It is not a de Polignac number, because 54378945 - 212 = 54374849 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 54378945.

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 19 ways as a sum of consecutive naturals, for example, 66730 + ... + 67539.

It is an arithmetic number, because the mean of its divisors is an integer number (4874001).

Almost surely, 254378945 is an apocalyptic number.

It is an amenable number.

54378945 is a deficient number, since it is larger than the sum of its proper divisors (43101075).

54378945 is a wasteful number, since it uses less digits than its factorization.

54378945 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134286 (or 134277 counting only the distinct ones).

The product of its digits is 604800, while the sum is 45.

The square root of 54378945 is about 7374.2080930768. The cubic root of 54378945 is about 378.8584044174.

Subtracting 54378945 from its reverse (54987345), we obtain a square (608400 = 7802).

The spelling of 54378945 in words is "fifty-four million, three hundred seventy-eight thousand, nine hundred forty-five".

Divisors: 1 3 5 9 15 27 45 81 135 405 134269 402807 671345 1208421 2014035 3625263 6042105 10875789 18126315 54378945