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54427072 = 267313919
BaseRepresentation
bin1100111110011…
…1110111000000
310210102011220111
43033213313000
5102413131242
65222321104
71230423340
oct317476700
9123364814
1054427072
11287a4957
1216289194
13b37848b
14732ad20
154ba1817
hex33e7dc0

54427072 has 56 divisors (see below), whose sum is σ = 127447040. Its totient is φ = 22567680.

The previous prime is 54427069. The next prime is 54427073. The reversal of 54427072 is 27072445.

It is a tau number, because it is divible by the number of its divisors (56).

It is a Harshad number since it is a multiple of its sum of digits (31).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54427073) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 11929 + ... + 15847.

It is an arithmetic number, because the mean of its divisors is an integer number (2275840).

Almost surely, 254427072 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 54427072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63723520).

54427072 is an abundant number, since it is smaller than the sum of its proper divisors (73019968).

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

54427072 is a wasteful number, since it uses less digits than its factorization.

54427072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3969 (or 3959 counting only the distinct ones).

The product of its (nonzero) digits is 15680, while the sum is 31.

The square root of 54427072 is about 7377.4705692398. The cubic root of 54427072 is about 378.9701384845.

The spelling of 54427072 in words is "fifty-four million, four hundred twenty-seven thousand, seventy-two".

Divisors: 1 2 4 7 8 14 16 28 31 32 56 62 64 112 124 217 224 248 434 448 496 868 992 1736 1984 3472 3919 6944 7838 13888 15676 27433 31352 54866 62704 109732 121489 125408 219464 242978 250816 438928 485956 850423 877856 971912 1700846 1755712 1943824 3401692 3887648 6803384 7775296 13606768 27213536 54427072