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54451728 = 2432378137
BaseRepresentation
bin1100111110110…
…1111000010000
310210110102201200
43033231320100
5102414423403
65223031200
71230555252
oct317557020
9123412650
1054451728
1128811431
121629b500
13b386776
147335cd2
154ba8ca3
hex33ede10

54451728 has 30 divisors (see below), whose sum is σ = 152389614. Its totient is φ = 18150528.

The previous prime is 54451699. The next prime is 54451729. The reversal of 54451728 is 82715445.

It can be written as a sum of positive squares in only one way, i.e., 41835024 + 12616704 = 6468^2 + 3552^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 54451692 and 54451701.

It is not an unprimeable number, because it can be changed into a prime (54451729) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 188925 + ... + 189212.

Almost surely, 254451728 is an apocalyptic number.

It is an amenable number.

54451728 is an abundant number, since it is smaller than the sum of its proper divisors (97937886).

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

54451728 is a wasteful number, since it uses less digits than its factorization.

54451728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 378151 (or 378142 counting only the distinct ones).

The product of its digits is 44800, while the sum is 36.

The square root of 54451728 is about 7379.1414134708. The cubic root of 54451728 is about 379.0273555812.

The spelling of 54451728 in words is "fifty-four million, four hundred fifty-one thousand, seven hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 378137 756274 1134411 1512548 2268822 3025096 3403233 4537644 6050192 6806466 9075288 13612932 18150576 27225864 54451728