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54384100 = 2252543841
BaseRepresentation
bin1100111101110…
…1010111100100
310210022222221221
43033131113210
5102410242400
65221350124
71230154141
oct317352744
9123288857
1054384100
1128775641
1216268344
13b361a54
1473193c8
154b93c1a
hex33dd5e4

54384100 has 18 divisors (see below), whose sum is σ = 118013714. Its totient is φ = 21753600.

The previous prime is 54384097. The next prime is 54384131. The reversal of 54384100 is 148345.

It can be written as a sum of positive squares in 3 ways, for example, as 1763584 + 52620516 = 1328^2 + 7254^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 271821 + ... + 272020.

Almost surely, 254384100 is an apocalyptic number.

54384100 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

54384100 is an abundant number, since it is smaller than the sum of its proper divisors (63629614).

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

54384100 is a wasteful number, since it uses less digits than its factorization.

54384100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 543855 (or 543848 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 25.

The square root of 54384100 is about 7374.5576138505. The cubic root of 54384100 is about 378.8703756768.

The spelling of 54384100 in words is "fifty-four million, three hundred eighty-four thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 543841 1087682 2175364 2719205 5438410 10876820 13596025 27192050 54384100