Search a number
-
+
55768405 = 5711413533
BaseRepresentation
bin1101010010111…
…1010101010101
310212221022212111
43110233111111
5103234042110
65311151021
71245011050
oct324572525
9125838774
1055768405
11295306a0
1216815471
13b727b74
147599a97
154d68e8a
hex352f555

55768405 has 32 divisors (see below), whose sum is σ = 85494528. Its totient is φ = 33907200.

The previous prime is 55768397. The next prime is 55768417. The reversal of 55768405 is 50486755.

It is not a de Polignac number, because 55768405 - 23 = 55768397 is a prime.

It is a super-2 number, since 2×557684052 = 6220229992488050, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 14019 + ... + 17551.

It is an arithmetic number, because the mean of its divisors is an integer number (2671704).

Almost surely, 255768405 is an apocalyptic number.

55768405 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

55768405 is a deficient number, since it is larger than the sum of its proper divisors (29726123).

55768405 is a wasteful number, since it uses less digits than its factorization.

55768405 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3597.

The product of its (nonzero) digits is 168000, while the sum is 40.

The square root of 55768405 is about 7467.8246497893. The cubic root of 55768405 is about 382.0580967531.

The spelling of 55768405 in words is "fifty-five million, seven hundred sixty-eight thousand, four hundred five".

Divisors: 1 5 7 11 35 41 55 77 205 287 385 451 1435 2255 3157 3533 15785 17665 24731 38863 123655 144853 194315 272041 724265 1013971 1360205 1593383 5069855 7966915 11153681 55768405