Search a number
-
+
55044960 = 2535412797
BaseRepresentation
bin1101000111111…
…0101101100000
310211120120111020
43101332231200
5103042414320
65243445440
71235605635
oct321765540
9124516436
1055044960
1129087103
1216526880
13b5337a9
14744c18c
154c74940
hex347eb60

55044960 has 96 divisors (see below), whose sum is σ = 177684192. Its totient is φ = 14315520.

The previous prime is 55044953. The next prime is 55044991. The reversal of 55044960 is 6944055.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18282 + ... + 21078.

It is an arithmetic number, because the mean of its divisors is an integer number (1850877).

Almost surely, 255044960 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 55044960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88842096).

55044960 is an abundant number, since it is smaller than the sum of its proper divisors (122639232).

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

55044960 is a wasteful number, since it uses less digits than its factorization.

55044960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2856 (or 2848 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 33.

The square root of 55044960 is about 7419.2290704628. The cubic root of 55044960 is about 380.3988425453.

The spelling of 55044960 in words is "fifty-five million, forty-four thousand, nine hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 41 48 60 80 82 96 120 123 160 164 205 240 246 328 410 480 492 615 656 820 984 1230 1312 1640 1968 2460 2797 3280 3936 4920 5594 6560 8391 9840 11188 13985 16782 19680 22376 27970 33564 41955 44752 55940 67128 83910 89504 111880 114677 134256 167820 223760 229354 268512 335640 344031 447520 458708 573385 671280 688062 917416 1146770 1342560 1376124 1720155 1834832 2293540 2752248 3440310 3669664 4587080 5504496 6880620 9174160 11008992 13761240 18348320 27522480 55044960