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55341468 = 22347131877
BaseRepresentation
bin1101001100011…
…1000110011100
310212010122020000
43103013012130
5103131411333
65254054300
71241252250
oct323070634
9125118200
1055341468
1129269956
121664a390
13b608740
1474c8260
154cd2713
hex34c719c

55341468 has 120 divisors (see below), whose sum is σ = 178154592. Its totient is φ = 14587776.

The previous prime is 55341467. The next prime is 55341491. The reversal of 55341468 is 86414355.

It is a happy number.

55341468 is a `hidden beast` number, since 553 + 41 + 4 + 68 = 666.

55341468 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (55341467) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 28546 + ... + 30422.

Almost surely, 255341468 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 55341468, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89077296).

55341468 is an abundant number, since it is smaller than the sum of its proper divisors (122813124).

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

55341468 is a wasteful number, since it uses less digits than its factorization.

55341468 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1913 (or 1902 counting only the distinct ones).

The product of its digits is 57600, while the sum is 36.

The square root of 55341468 is about 7439.1846327403. The cubic root of 55341468 is about 381.0806450902.

The spelling of 55341468 in words is "fifty-five million, three hundred forty-one thousand, four hundred sixty-eight".

Divisors: 1 2 3 4 6 7 9 12 13 14 18 21 26 27 28 36 39 42 52 54 63 78 81 84 91 108 117 126 156 162 182 189 234 252 273 324 351 364 378 468 546 567 702 756 819 1053 1092 1134 1404 1638 1877 2106 2268 2457 3276 3754 4212 4914 5631 7371 7508 9828 11262 13139 14742 16893 22524 24401 26278 29484 33786 39417 48802 50679 52556 67572 73203 78834 97604 101358 118251 146406 152037 157668 170807 202716 219609 236502 292812 304074 341614 354753 439218 473004 512421 608148 658827 683228 709506 878436 1024842 1064259 1317654 1419012 1537263 1976481 2049684 2128518 2635308 3074526 3952962 4257036 4611789 6149052 7905924 9223578 13835367 18447156 27670734 55341468