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54215056 = 2471973349
BaseRepresentation
bin1100111011010…
…0000110010000
310210000102002001
43032310012100
5102334340211
65214003344
71225551250
oct316640620
9123012061
1054215056
112866a635
12161a6554
13b302b1c
1472b3960
154b5dac1
hex33b4190

54215056 has 80 divisors (see below), whose sum is σ = 128464000. Its totient is φ = 21648384.

The previous prime is 54215053. The next prime is 54215069. The reversal of 54215056 is 65051245.

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

It is not an unprimeable number, because it can be changed into a prime (54215053) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 155170 + ... + 155518.

It is an arithmetic number, because the mean of its divisors is an integer number (1605800).

Almost surely, 254215056 is an apocalyptic number.

54215056 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 54215056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64232000).

54215056 is an abundant number, since it is smaller than the sum of its proper divisors (74248944).

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

54215056 is a wasteful number, since it uses less digits than its factorization.

54215056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 456 (or 450 counting only the distinct ones).

The product of its (nonzero) digits is 6000, while the sum is 28.

The square root of 54215056 is about 7363.0873959230. The cubic root of 54215056 is about 378.4774162323.

The spelling of 54215056 in words is "fifty-four million, two hundred fifteen thousand, fifty-six".

Divisors: 1 2 4 7 8 14 16 19 28 38 56 73 76 112 133 146 152 266 292 304 349 511 532 584 698 1022 1064 1168 1387 1396 2044 2128 2443 2774 2792 4088 4886 5548 5584 6631 8176 9709 9772 11096 13262 19418 19544 22192 25477 26524 38836 39088 46417 50954 53048 77672 92834 101908 106096 155344 178339 185668 203816 356678 371336 407632 484063 713356 742672 968126 1426712 1936252 2853424 3388441 3872504 6776882 7745008 13553764 27107528 54215056