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54384096 = 2531343577
BaseRepresentation
bin1100111101110…
…1010111100000
310210022222221210
43033131113200
5102410242341
65221350120
71230154134
oct317352740
9123288853
1054384096
1128775638
1216268340
13b361a50
1473193c4
154b93c16
hex33dd5e0

54384096 has 48 divisors (see below), whose sum is σ = 153743184. Its totient is φ = 16733184.

The previous prime is 54384059. The next prime is 54384097. The reversal of 54384096 is 69048345.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54384097) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 20541 + ... + 23036.

It is an arithmetic number, because the mean of its divisors is an integer number (3202983).

Almost surely, 254384096 is an apocalyptic number.

It is an amenable number.

54384096 is an abundant number, since it is smaller than the sum of its proper divisors (99359088).

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

54384096 is a wasteful number, since it uses less digits than its factorization.

54384096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43603 (or 43595 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 39.

The square root of 54384096 is about 7374.5573426478. The cubic root of 54384096 is about 378.8703663880.

The spelling of 54384096 in words is "fifty-four million, three hundred eighty-four thousand, ninety-six".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 78 96 104 156 208 312 416 624 1248 43577 87154 130731 174308 261462 348616 522924 566501 697232 1045848 1133002 1394464 1699503 2091696 2266004 3399006 4183392 4532008 6798012 9064016 13596024 18128032 27192048 54384096