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54338742 = 2332367653
BaseRepresentation
bin1100111101001…
…0010010110110
310210020200202000
43033102102312
5102402314432
65220400130
71226604663
oct317222266
9123220660
1054338742
1128744557
1216246046
13b347203
147306a6a
154b8557c
hex33d24b6

54338742 has 64 divisors (see below), whose sum is σ = 128079360. Its totient is φ = 17040672.

The previous prime is 54338731. The next prime is 54338743. The reversal of 54338742 is 24783345.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 54338697 and 54338706.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54338743) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 82888 + ... + 83540.

It is an arithmetic number, because the mean of its divisors is an integer number (2001240).

Almost surely, 254338742 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 54338742, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64039680).

54338742 is an abundant number, since it is smaller than the sum of its proper divisors (73740618).

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

54338742 is a wasteful number, since it uses less digits than its factorization.

54338742 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 754 (or 748 counting only the distinct ones).

The product of its digits is 80640, while the sum is 36.

The square root of 54338742 is about 7371.4816692440. The cubic root of 54338742 is about 378.7650165598.

The spelling of 54338742 in words is "fifty-four million, three hundred thirty-eight thousand, seven hundred forty-two".

Divisors: 1 2 3 6 9 18 23 27 46 54 67 69 134 138 201 207 402 414 603 621 653 1206 1242 1306 1541 1809 1959 3082 3618 3918 4623 5877 9246 11754 13869 15019 17631 27738 30038 35262 41607 43751 45057 83214 87502 90114 131253 135171 262506 270342 393759 405513 787518 811026 1006273 1181277 2012546 2362554 3018819 6037638 9056457 18112914 27169371 54338742