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54277248 = 2731071321
BaseRepresentation
bin1100111100001…
…1010010000000
310210010120101110
43033003102000
5102343332443
65215203320
71226230464
oct317032200
9123116343
1054277248
1128702333
1216216540
13b32521c
1472cc4a4
154b72233
hex33c3480

54277248 has 64 divisors (see below), whose sum is σ = 145631520. Its totient is φ = 17909760.

The previous prime is 54277231. The next prime is 54277253. The reversal of 54277248 is 84277245.

It is a tau number, because it is divible by the number of its divisors (64).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 40428 + ... + 41748.

Almost surely, 254277248 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 54277248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72815760).

54277248 is an abundant number, since it is smaller than the sum of its proper divisors (91354272).

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

54277248 is a wasteful number, since it uses less digits than its factorization.

54277248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1445 (or 1433 counting only the distinct ones).

The product of its digits is 125440, while the sum is 39.

The square root of 54277248 is about 7367.3094138905. The cubic root of 54277248 is about 378.6220825201.

The spelling of 54277248 in words is "fifty-four million, two hundred seventy-seven thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 107 128 192 214 321 384 428 642 856 1284 1321 1712 2568 2642 3424 3963 5136 5284 6848 7926 10272 10568 13696 15852 20544 21136 31704 41088 42272 63408 84544 126816 141347 169088 253632 282694 424041 507264 565388 848082 1130776 1696164 2261552 3392328 4523104 6784656 9046208 13569312 18092416 27138624 54277248