Search a number
-
+
54871300 = 22521183601
BaseRepresentation
bin1101000101010…
…0010100000100
310211020202021101
43101110110010
5103021340200
65240025444
71234253431
oct321242404
9124222241
1054871300
1128a78690
1216462284
13b4a2733
147404b88
154c3d26a
hex3454504

54871300 has 72 divisors (see below), whose sum is σ = 131679072. Its totient is φ = 19680000.

The previous prime is 54871283. The next prime is 54871301. The reversal of 54871300 is 317845.

It is not an unprimeable number, because it can be changed into a prime (54871301) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 91000 + ... + 91600.

It is an arithmetic number, because the mean of its divisors is an integer number (1828876).

Almost surely, 254871300 is an apocalyptic number.

54871300 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 54871300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65839536).

54871300 is an abundant number, since it is smaller than the sum of its proper divisors (76807772).

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

54871300 is a wasteful number, since it uses less digits than its factorization.

54871300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 709 (or 702 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 28.

The square root of 54871300 is about 7407.5164529011. The cubic root of 54871300 is about 379.9983841113.

The spelling of 54871300 in words is "fifty-four million, eight hundred seventy-one thousand, three hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 83 100 110 166 220 275 332 415 550 601 830 913 1100 1202 1660 1826 2075 2404 3005 3652 4150 4565 6010 6611 8300 9130 12020 13222 15025 18260 22825 26444 30050 33055 45650 49883 60100 66110 91300 99766 132220 165275 199532 249415 330550 498830 548713 661100 997660 1097426 1247075 2194852 2494150 2743565 4988300 5487130 10974260 13717825 27435650 54871300