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54240256 = 210722347
BaseRepresentation
bin1100111011101…
…0010000000000
310210001200122101
43032322100000
5102341142011
65214320144
71226014600
oct316722000
9123050571
1054240256
1128687564
12161b9054
13b311435
1472bcc00
154b662c1
hex33ba400

54240256 has 132 divisors (see below), whose sum is σ = 134414208. Its totient is φ = 21762048.

The previous prime is 54240223. The next prime is 54240271. The reversal of 54240256 is 65204245.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1154025 + ... + 1154071.

Almost surely, 254240256 is an apocalyptic number.

54240256 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 54240256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67207104).

54240256 is an abundant number, since it is smaller than the sum of its proper divisors (80173952).

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

54240256 is a wasteful number, since it uses less digits than its factorization.

54240256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104 (or 79 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 28.

The square root of 54240256 is about 7364.7984358026. The cubic root of 54240256 is about 378.5360478759.

The spelling of 54240256 in words is "fifty-four million, two hundred forty thousand, two hundred fifty-six".

Divisors: 1 2 4 7 8 14 16 23 28 32 46 47 49 56 64 92 94 98 112 128 161 184 188 196 224 256 322 329 368 376 392 448 512 644 658 736 752 784 896 1024 1081 1127 1288 1316 1472 1504 1568 1792 2162 2254 2303 2576 2632 2944 3008 3136 3584 4324 4508 4606 5152 5264 5888 6016 6272 7168 7567 8648 9016 9212 10304 10528 11776 12032 12544 15134 17296 18032 18424 20608 21056 23552 24064 25088 30268 34592 36064 36848 41216 42112 48128 50176 52969 60536 69184 72128 73696 82432 84224 105938 121072 138368 144256 147392 164864 168448 211876 242144 276736 288512 294784 336896 423752 484288 553472 577024 589568 847504 968576 1106944 1154048 1179136 1695008 1937152 2358272 3390016 3874304 6780032 7748608 13560064 27120128 54240256