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54427648 = 21511151
BaseRepresentation
bin1100111110100…
…0000000000000
310210102012200211
43033220000000
5102413141043
65222323504
71230425122
oct317500000
9123365624
1054427648
11287a5330
1216289594
13b378812
14732b212
154ba1a9d
hex33e8000

54427648 has 64 divisors (see below), whose sum is σ = 119535840. Its totient is φ = 24576000.

The previous prime is 54427627. The next prime is 54427649. The reversal of 54427648 is 84672445.

It is a happy number.

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

Its product of digits (215040) is a multiple of the sum of its prime factors (192).

It is a self number, because there is not a number n which added to its sum of digits gives 54427648.

It is not an unprimeable number, because it can be changed into a prime (54427649) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 360373 + ... + 360523.

Almost surely, 254427648 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 54427648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59767920).

54427648 is an abundant number, since it is smaller than the sum of its proper divisors (65108192).

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

54427648 is an equidigital number, since it uses as much as digits as its factorization.

54427648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 192 (or 164 counting only the distinct ones).

The product of its digits is 215040, while the sum is 40.

The square root of 54427648 is about 7377.5096069067. The cubic root of 54427648 is about 378.9714753561.

The spelling of 54427648 in words is "fifty-four million, four hundred twenty-seven thousand, six hundred forty-eight".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 128 151 176 256 302 352 512 604 704 1024 1208 1408 1661 2048 2416 2816 3322 4096 4832 5632 6644 8192 9664 11264 13288 16384 19328 22528 26576 32768 38656 45056 53152 77312 90112 106304 154624 180224 212608 309248 360448 425216 618496 850432 1236992 1700864 2473984 3401728 4947968 6803456 13606912 27213824 54427648