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55849365 = 33511213263
BaseRepresentation
bin1101010100001…
…1000110010101
310220002102221000
43111003012111
5103244134430
65313013513
71245466065
oct325030625
9126072830
1055849365
1129586500
1216854299
13b755980
1475bb3a5
154d82e60
hex3543195

55849365 has 96 divisors (see below), whose sum is σ = 117976320. Its totient is φ = 24900480.

The previous prime is 55849363. The next prime is 55849427. The reversal of 55849365 is 56394855.

55849365 is a `hidden beast` number, since 5 + 584 + 9 + 3 + 65 = 666.

It is not a de Polignac number, because 55849365 - 21 = 55849363 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 55849365.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (55849363) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 212224 + ... + 212486.

It is an arithmetic number, because the mean of its divisors is an integer number (1228920).

Almost surely, 255849365 is an apocalyptic number.

55849365 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

55849365 is an abundant number, since it is smaller than the sum of its proper divisors (62126955).

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

55849365 is a wasteful number, since it uses less digits than its factorization.

55849365 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 312 (or 295 counting only the distinct ones).

The product of its digits is 648000, while the sum is 45.

The square root of 55849365 is about 7473.2432718332. The cubic root of 55849365 is about 382.2428875719.

Subtracting 55849365 from its reverse (56394855), we obtain a triangular number (545490 = T1044).

The spelling of 55849365 in words is "fifty-five million, eight hundred forty-nine thousand, three hundred sixty-five".

Divisors: 1 3 5 9 11 13 15 27 33 39 45 55 65 99 117 121 135 143 165 195 263 297 351 363 429 495 585 605 715 789 1089 1287 1315 1485 1573 1755 1815 2145 2367 2893 3267 3419 3861 3945 4719 5445 6435 7101 7865 8679 10257 11835 14157 14465 16335 17095 19305 23595 26037 30771 31823 35505 37609 42471 43395 51285 70785 78111 92313 95469 112827 130185 153855 159115 188045 212355 286407 338481 390555 413699 461565 477345 564135 859221 1015443 1241097 1432035 1692405 2068495 3723291 4296105 5077215 6205485 11169873 18616455 55849365