Search a number
-
+
55289544 = 233192937113
BaseRepresentation
bin1101001011101…
…0011011001000
310212000222222220
43102322123020
5103123231134
65253014040
71240645002
oct322723310
9125028886
1055289544
1129233942
1216624320
13b5bac0b
1474b3372
154cc2149
hex34ba6c8

55289544 has 128 divisors (see below), whose sum is σ = 155952000. Its totient is φ = 16257024.

The previous prime is 55289519. The next prime is 55289557. The reversal of 55289544 is 44598255.

55289544 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 55289496 and 55289505.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 489232 + ... + 489344.

It is an arithmetic number, because the mean of its divisors is an integer number (1218375).

Almost surely, 255289544 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 55289544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77976000).

55289544 is an abundant number, since it is smaller than the sum of its proper divisors (100662456).

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

55289544 is a wasteful number, since it uses less digits than its factorization.

55289544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 207 (or 203 counting only the distinct ones).

The product of its digits is 288000, while the sum is 42.

The square root of 55289544 is about 7435.6939151635. The cubic root of 55289544 is about 380.9614251285.

The spelling of 55289544 in words is "fifty-five million, two hundred eighty-nine thousand, five hundred forty-four".

Divisors: 1 2 3 4 6 8 12 19 24 29 37 38 57 58 74 76 87 111 113 114 116 148 152 174 222 226 228 232 296 339 348 444 452 456 551 678 696 703 888 904 1073 1102 1356 1406 1653 2109 2146 2147 2204 2712 2812 3219 3277 3306 4181 4218 4292 4294 4408 5624 6438 6441 6554 6612 8362 8436 8584 8588 9831 12543 12876 12882 13108 13224 16724 16872 17176 19662 20387 25086 25752 25764 26216 33448 39324 40774 50172 51528 61161 62263 78648 79439 81548 100344 121249 122322 124526 158878 163096 186789 238317 242498 244644 249052 317756 363747 373578 476634 484996 489288 498104 635512 727494 747156 953268 969992 1454988 1494312 1906536 2303731 2909976 4607462 6911193 9214924 13822386 18429848 27644772 55289544