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54424032 = 2531343609
BaseRepresentation
bin1100111110011…
…1000111100000
310210102000201220
43033213013200
5102413032112
65222255040
71230411435
oct317470740
9123360656
1054424032
11287a2643
1216287480
13b376c90
147329b8c
154ba098c
hex33e71e0

54424032 has 48 divisors (see below), whose sum is σ = 153856080. Its totient is φ = 16745472.

The previous prime is 54424031. The next prime is 54424061. The reversal of 54424032 is 23042445.

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 (24).

It is a zygodrome in base 2.

It is a junction number, because it is equal to n+sod(n) for n = 54423993 and 54424011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54424031) 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, 20557 + ... + 23052.

It is an arithmetic number, because the mean of its divisors is an integer number (3205335).

Almost surely, 254424032 is an apocalyptic number.

54424032 is a gapful number since it is divisible by the number (52) formed by its first and last digit.

It is an amenable number.

54424032 is an abundant number, since it is smaller than the sum of its proper divisors (99432048).

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

54424032 is a wasteful number, since it uses less digits than its factorization.

54424032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43635 (or 43627 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 24.

The square root of 54424032 is about 7377.2645336873. The cubic root of 54424032 is about 378.9630826167.

Adding to 54424032 its reverse (23042445), we get a palindrome (77466477).

The spelling of 54424032 in words is "fifty-four million, four hundred twenty-four thousand, thirty-two".

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 43609 87218 130827 174436 261654 348872 523308 566917 697744 1046616 1133834 1395488 1700751 2093232 2267668 3401502 4186464 4535336 6803004 9070672 13606008 18141344 27212016 54424032