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54430218 = 234337997
BaseRepresentation
bin1100111110100…
…0101000001010
310210102100020000
43033220220022
5102413231333
65222343430
71230435453
oct317505012
9123370200
1054430218
11287a7257
121628ab76
13b379a3b
14732c12a
154ba2713
hex33e8a0a

54430218 has 40 divisors (see below), whose sum is σ = 122448612. Its totient is φ = 18071424.

The previous prime is 54430177. The next prime is 54430241. The reversal of 54430218 is 81203445.

54430218 is a `hidden beast` number, since 5 + 443 + 0 + 218 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 54066609 + 363609 = 7353^2 + 603^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 54430191 and 54430200.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 54096 + ... + 55092.

Almost surely, 254430218 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 54430218, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61224306).

54430218 is an abundant number, since it is smaller than the sum of its proper divisors (68018394).

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

54430218 is a wasteful number, since it uses less digits than its factorization.

54430218 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1348 (or 1339 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 54430218 is about 7377.6837828684. The cubic root of 54430218 is about 378.9774401026.

The spelling of 54430218 in words is "fifty-four million, four hundred thirty thousand, two hundred eighteen".

Divisors: 1 2 3 6 9 18 27 54 81 162 337 674 997 1011 1994 2022 2991 3033 5982 6066 8973 9099 17946 18198 26919 27297 53838 54594 80757 161514 335989 671978 1007967 2015934 3023901 6047802 9071703 18143406 27215109 54430218