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54473120 = 2551326189
BaseRepresentation
bin1100111111001…
…1000110100000
310210111112001222
43033303012200
5102421114440
65223314212
71231004522
oct317630640
9123445058
1054473120
1128826509
12162ab968
13b393420
14733da12
154bb02b5
hex33f31a0

54473120 has 48 divisors (see below), whose sum is σ = 138597480. Its totient is φ = 20112384.

The previous prime is 54473087. The next prime is 54473123. The reversal of 54473120 is 2137445.

54473120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 42667024 + 11806096 = 6532^2 + 3436^2 .

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a self number, because there is not a number n which added to its sum of digits gives 54473120.

It is not an unprimeable number, because it can be changed into a prime (54473123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 11015 + ... + 15174.

Almost surely, 254473120 is an apocalyptic number.

It is an amenable number.

54473120 is an abundant number, since it is smaller than the sum of its proper divisors (84124360).

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

54473120 is a wasteful number, since it uses less digits than its factorization.

54473120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26217 (or 26209 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 26.

The square root of 54473120 is about 7380.5907622629. The cubic root of 54473120 is about 379.0769841968.

The spelling of 54473120 in words is "fifty-four million, four hundred seventy-three thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 13 16 20 26 32 40 52 65 80 104 130 160 208 260 416 520 1040 2080 26189 52378 104756 130945 209512 261890 340457 419024 523780 680914 838048 1047560 1361828 1702285 2095120 2723656 3404570 4190240 5447312 6809140 10894624 13618280 27236560 54473120