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55843344 = 243553271
BaseRepresentation
bin1101010100000…
…1101000010000
310220002010200000
43111001220100
5103243441334
65312530000
71245442404
oct325015020
9126063600
1055843344
1129581a27
1216850900
13b752ccb
1475b9104
154d81299
hex3541a10

55843344 has 120 divisors (see below), whose sum is σ = 165739392. Its totient is φ = 18195840.

The previous prime is 55843339. The next prime is 55843349. The reversal of 55843344 is 44334855.

55843344 is a `hidden beast` number, since 5 + 584 + 33 + 44 = 666.

It is an interprime number because it is at equal distance from previous prime (55843339) and next prime (55843349).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 55843299 and 55843308.

It is not an unprimeable number, because it can be changed into a prime (55843349) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 205929 + ... + 206199.

Almost surely, 255843344 is an apocalyptic number.

55843344 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 55843344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82869696).

55843344 is an abundant number, since it is smaller than the sum of its proper divisors (109896048).

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

55843344 is a wasteful number, since it uses less digits than its factorization.

55843344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 347 (or 329 counting only the distinct ones).

The product of its digits is 115200, while the sum is 36.

The square root of 55843344 is about 7472.8404238281. The cubic root of 55843344 is about 382.2291508169.

The spelling of 55843344 in words is "fifty-five million, eight hundred forty-three thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 53 54 72 81 106 108 144 159 162 212 216 243 271 318 324 424 432 477 486 542 636 648 813 848 954 972 1084 1272 1296 1431 1626 1908 1944 2168 2439 2544 2862 3252 3816 3888 4293 4336 4878 5724 6504 7317 7632 8586 9756 11448 12879 13008 14363 14634 17172 19512 21951 22896 25758 28726 29268 34344 39024 43089 43902 51516 57452 58536 65853 68688 86178 87804 103032 114904 117072 129267 131706 172356 175608 206064 229808 258534 263412 344712 351216 387801 517068 526824 689424 775602 1034136 1053648 1163403 1551204 2068272 2326806 3102408 3490209 4653612 6204816 6980418 9307224 13960836 18614448 27921672 55843344