Search a number
-
+
55209280 = 26573503
BaseRepresentation
bin1101001010011…
…0110101000000
310211212220220011
43102212311000
5103113144110
65251154304
71240162000
oct322466500
9124786804
1055209280
1129189605
12165a5994
13b590519
147492000
154ca848a
hex34a6d40

55209280 has 112 divisors (see below), whose sum is σ = 153619200. Its totient is φ = 18891264.

The previous prime is 55209277. The next prime is 55209289. The reversal of 55209280 is 8290255.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (112).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (55209289) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 109509 + ... + 110011.

It is an arithmetic number, because the mean of its divisors is an integer number (1371600).

Almost surely, 255209280 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 55209280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76809600).

55209280 is an abundant number, since it is smaller than the sum of its proper divisors (98409920).

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

55209280 is an equidigital number, since it uses as much as digits as its factorization.

55209280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 541 (or 517 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 31.

The square root of 55209280 is about 7430.2947451632. The cubic root of 55209280 is about 380.7769882288.

The spelling of 55209280 in words is "fifty-five million, two hundred nine thousand, two hundred eighty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 49 56 64 70 80 98 112 140 160 196 224 245 280 320 343 392 448 490 503 560 686 784 980 1006 1120 1372 1568 1715 1960 2012 2240 2515 2744 3136 3430 3521 3920 4024 5030 5488 6860 7042 7840 8048 10060 10976 13720 14084 15680 16096 17605 20120 21952 24647 27440 28168 32192 35210 40240 49294 54880 56336 70420 80480 98588 109760 112672 123235 140840 160960 172529 197176 225344 246470 281680 345058 394352 492940 563360 690116 788704 862645 985880 1126720 1380232 1577408 1725290 1971760 2760464 3450580 3943520 5520928 6901160 7887040 11041856 13802320 27604640 55209280