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54424360 = 2351923769
BaseRepresentation
bin1100111110011…
…1001100101000
310210102001012001
43033213030220
5102413034420
65222300344
71230412414
oct317471450
9123361161
1054424360
11287a2911
12162876b4
13b377183
147329d44
154ba0b0a
hex33e7328

54424360 has 48 divisors (see below), whose sum is σ = 129273300. Its totient is φ = 20618496.

The previous prime is 54424351. The next prime is 54424367. The reversal of 54424360 is 6342445.

It can be written as a sum of positive squares in 2 ways, for example, as 53787556 + 636804 = 7334^2 + 798^2 .

It is a super-2 number, since 2×544243602 = 5924021922819200, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (54424367) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 12556 + ... + 16324.

Almost surely, 254424360 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 54424360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64636650).

54424360 is an abundant number, since it is smaller than the sum of its proper divisors (74848940).

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

54424360 is a wasteful number, since it uses less digits than its factorization.

54424360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3818 (or 3795 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 28.

The square root of 54424360 is about 7377.2867641159. The cubic root of 54424360 is about 378.9638439204.

The spelling of 54424360 in words is "fifty-four million, four hundred twenty-four thousand, three hundred sixty".

Divisors: 1 2 4 5 8 10 19 20 38 40 76 95 152 190 361 380 722 760 1444 1805 2888 3610 3769 7220 7538 14440 15076 18845 30152 37690 71611 75380 143222 150760 286444 358055 572888 716110 1360609 1432220 2721218 2864440 5442436 6803045 10884872 13606090 27212180 54424360