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55312362 = 2337414383
BaseRepresentation
bin1101001011111…
…1111111101010
310212002011022000
43102333333222
5103124443422
65253311430
71241101350
oct322777752
9125064260
1055312362
1129249aa6
1216635576
13b5c8411
1474bb7d0
154cc8cac
hex34bffea

55312362 has 128 divisors (see below), whose sum is σ = 149022720. Its totient is φ = 14878080.

The previous prime is 55312351. The next prime is 55312393. The reversal of 55312362 is 26321355.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 666373 + ... + 666455.

It is an arithmetic number, because the mean of its divisors is an integer number (1164240).

Almost surely, 255312362 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 55312362, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74511360).

55312362 is an abundant number, since it is smaller than the sum of its proper divisors (93710358).

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

55312362 is a wasteful number, since it uses less digits than its factorization.

55312362 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 185 (or 179 counting only the distinct ones).

The product of its digits is 5400, while the sum is 27.

The square root of 55312362 is about 7437.2281126775. The cubic root of 55312362 is about 381.0138255260.

The spelling of 55312362 in words is "fifty-five million, three hundred twelve thousand, three hundred sixty-two".

Divisors: 1 2 3 6 7 9 14 18 21 27 41 42 43 54 63 82 83 86 123 126 129 166 189 246 249 258 287 301 369 378 387 498 574 581 602 738 747 774 861 903 1107 1161 1162 1494 1722 1743 1763 1806 2214 2241 2322 2583 2709 3403 3486 3526 3569 4482 5166 5229 5289 5418 6806 7138 7749 8127 10209 10458 10578 10707 12341 15498 15687 15867 16254 20418 21414 23821 24682 24983 30627 31374 31734 32121 37023 47601 47642 49966 61254 64242 71463 74046 74949 91881 95202 96363 111069 142926 146329 149898 183762 192726 214389 222138 224847 292658 333207 428778 438987 449694 643167 666414 674541 877974 1024303 1286334 1316961 1349082 2048606 2633922 3072909 3950883 6145818 7901766 9218727 18437454 27656181 55312362