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54378 = 2331953
BaseRepresentation
bin1101010001101010
32202121000
431101222
53220003
61055430
7314352
oct152152
982530
1054378
1137945
1227576
131b99c
1415b62
15111a3
hexd46a

54378 has 32 divisors (see below), whose sum is σ = 129600. Its totient is φ = 16848.

The previous prime is 54377. The next prime is 54401. The reversal of 54378 is 87345.

54378 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 (27).

It is not an unprimeable number, because it can be changed into a prime (54371) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1000 + ... + 1052.

It is an arithmetic number, because the mean of its divisors is an integer number (4050).

54378 is a Friedman number, since it can be written as 87*5^4+3, using all its digits and the basic arithmetic operations.

254378 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 54378, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64800).

54378 is an abundant number, since it is smaller than the sum of its proper divisors (75222).

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

54378 is a wasteful number, since it uses less digits than its factorization.

54378 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83 (or 77 counting only the distinct ones).

The product of its digits is 3360, while the sum is 27.

The square root of 54378 is about 233.1909089137. The cubic root of 54378 is about 37.8856209798.

It can be divided in two parts, 5437 and 8, that added together give a palindrome (5445).

The spelling of 54378 in words is "fifty-four thousand, three hundred seventy-eight".

Divisors: 1 2 3 6 9 18 19 27 38 53 54 57 106 114 159 171 318 342 477 513 954 1007 1026 1431 2014 2862 3021 6042 9063 18126 27189 54378