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54385488 = 24322931289
BaseRepresentation
bin1100111101110…
…1101101010000
310210100001212100
43033131231100
5102410313423
65221400400
71230161163
oct317355520
9123301770
1054385488
1128776693
1216269100
13b362581
147319ada
154b94343
hex33ddb50

54385488 has 60 divisors (see below), whose sum is σ = 152841780. Its totient is φ = 18052608.

The previous prime is 54385483. The next prime is 54385489. The reversal of 54385488 is 88458345.

It can be written as a sum of positive squares in 2 ways, for example, as 48274704 + 6110784 = 6948^2 + 2472^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54385481) 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, 41548 + ... + 42836.

It is an arithmetic number, because the mean of its divisors is an integer number (2547363).

Almost surely, 254385488 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 54385488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76420890).

54385488 is an abundant number, since it is smaller than the sum of its proper divisors (98456292).

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

54385488 is a wasteful number, since it uses less digits than its factorization.

54385488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1596 (or 1587 counting only the distinct ones).

The product of its digits is 614400, while the sum is 45.

The square root of 54385488 is about 7374.6517205899. The cubic root of 54385488 is about 378.8735988469.

The spelling of 54385488 in words is "fifty-four million, three hundred eighty-five thousand, four hundred eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 293 586 879 1172 1289 1758 2344 2578 2637 3516 3867 4688 5156 5274 7032 7734 10312 10548 11601 14064 15468 20624 21096 23202 30936 42192 46404 61872 92808 185616 377677 755354 1133031 1510708 2266062 3021416 3399093 4532124 6042832 6798186 9064248 13596372 18128496 27192744 54385488