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54328500 = 22325312073
BaseRepresentation
bin1100111100111…
…1110010110100
310210020011200200
43033033302310
5102402003000
65220240500
71226533062
oct317176264
9123204620
1054328500
1128737896
1216240130
13b342655
147303032
154b82500
hex33cfcb4

54328500 has 72 divisors (see below), whose sum is σ = 171402504. Its totient is φ = 14486400.

The previous prime is 54328499. The next prime is 54328511. The reversal of 54328500 is 582345.

It can be written as a sum of positive squares in 4 ways, for example, as 14107536 + 40220964 = 3756^2 + 6342^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1537 + ... + 10536.

Almost surely, 254328500 is an apocalyptic number.

54328500 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 54328500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85701252).

54328500 is an abundant number, since it is smaller than the sum of its proper divisors (117074004).

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

54328500 is a wasteful number, since it uses less digits than its factorization.

54328500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12098 (or 12083 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The square root of 54328500 is about 7370.7869322074. The cubic root of 54328500 is about 378.7412179776.

The spelling of 54328500 in words is "fifty-four million, three hundred twenty-eight thousand, five hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 30 36 45 50 60 75 90 100 125 150 180 225 250 300 375 450 500 750 900 1125 1500 2250 4500 12073 24146 36219 48292 60365 72438 108657 120730 144876 181095 217314 241460 301825 362190 434628 543285 603650 724380 905475 1086570 1207300 1509125 1810950 2173140 2716425 3018250 3621900 4527375 5432850 6036500 9054750 10865700 13582125 18109500 27164250 54328500