Search a number
-
+
55810431 = 334353907
BaseRepresentation
bin1101010011100…
…1100101111111
310220000110112000
43110321211333
5103241413211
65312113343
71245244425
oct324714577
9126013460
1055810431
112955a226
1216835853
13b741031
1475ab115
154d76656
hex353997f

55810431 has 32 divisors (see below), whose sum is σ = 86296320. Its totient is φ = 35616672.

The previous prime is 55810427. The next prime is 55810457. The reversal of 55810431 is 13401855.

55810431 is a `hidden beast` number, since 558 + 104 + 3 + 1 = 666.

It is not a de Polignac number, because 55810431 - 22 = 55810427 is a prime.

It is a super-2 number, since 2×558104312 = 6229608416811522, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 55810395 and 55810404.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (55810481) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 61080 + ... + 61986.

It is an arithmetic number, because the mean of its divisors is an integer number (2696760).

Almost surely, 255810431 is an apocalyptic number.

55810431 is a deficient number, since it is larger than the sum of its proper divisors (30485889).

55810431 is a wasteful number, since it uses less digits than its factorization.

55810431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1012 (or 1006 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 27.

The square root of 55810431 is about 7470.6379245684. The cubic root of 55810431 is about 382.1540432064.

The spelling of 55810431 in words is "fifty-five million, eight hundred ten thousand, four hundred thirty-one".

Divisors: 1 3 9 27 43 53 129 159 387 477 907 1161 1431 2279 2721 6837 8163 20511 24489 39001 48071 61533 117003 144213 351009 432639 1053027 1297917 2067053 6201159 18603477 55810431