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54427680 = 2533543293
BaseRepresentation
bin1100111110100…
…0000000100000
310210102012202000
43033220000200
5102413141210
65222324000
71230425166
oct317500040
9123365660
1054427680
11287a535a
1216289600
13b378838
14732b236
154ba1ac0
hex33e8020

54427680 has 192 divisors, whose sum is σ = 195592320. Its totient is φ = 14128128.

The previous prime is 54427679. The next prime is 54427691. The reversal of 54427680 is 8672445.

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 185614 + ... + 185906.

It is an arithmetic number, because the mean of its divisors is an integer number (1018710).

Almost surely, 254427680 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 54427680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97796160).

54427680 is an abundant number, since it is smaller than the sum of its proper divisors (141164640).

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

54427680 is a wasteful number, since it uses less digits than its factorization.

54427680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 360 (or 346 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The square root of 54427680 is about 7377.5117756599. The cubic root of 54427680 is about 378.9715496265.

It can be divided in two parts, 544 and 27680, that added together give a square (28224 = 1682).

The spelling of 54427680 in words is "fifty-four million, four hundred twenty-seven thousand, six hundred eighty".