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54104040 = 233251371097
BaseRepresentation
bin1100111001100…
…0111111101000
310202210202210100
43032120333220
5102322312130
65211345400
71224606504
oct316307750
9122722710
1054104040
11285a4191
1216152260
13b294433
147285304
154b3ac60
hex3398fe8

54104040 has 96 divisors (see below), whose sum is σ = 177283080. Its totient is φ = 14309376.

The previous prime is 54103999. The next prime is 54104069. The reversal of 54104040 is 4040145.

It can be written as a sum of positive squares in 4 ways, for example, as 40220964 + 13883076 = 6342^2 + 3726^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

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, 48772 + ... + 49868.

Almost surely, 254104040 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 54104040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88641540).

54104040 is an abundant number, since it is smaller than the sum of its proper divisors (123179040).

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

54104040 is a wasteful number, since it uses less digits than its factorization.

54104040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1251 (or 1244 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 18.

The square root of 54104040 is about 7355.5448472564. The cubic root of 54104040 is about 378.2189040280.

Adding to 54104040 its reverse (4040145), we get a palindrome (58144185).

The spelling of 54104040 in words is "fifty-four million, one hundred four thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 137 180 274 360 411 548 685 822 1096 1097 1233 1370 1644 2055 2194 2466 2740 3288 3291 4110 4388 4932 5480 5485 6165 6582 8220 8776 9864 9873 10970 12330 13164 16440 16455 19746 21940 24660 26328 32910 39492 43880 49320 49365 65820 78984 98730 131640 150289 197460 300578 394920 450867 601156 751445 901734 1202312 1352601 1502890 1803468 2254335 2705202 3005780 3606936 4508670 5410404 6011560 6763005 9017340 10820808 13526010 18034680 27052020 54104040