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55013364 = 22337531373
BaseRepresentation
bin1101000111011…
…0111111110100
310211111222011000
43101312333310
5103040411424
65243043300
71235414550
oct321667764
9124458130
1055013364
112906539a
1216510530
13b5222b3
147440860
154c6a3c9
hex3476ff4

55013364 has 96 divisors (see below), whose sum is σ = 166199040. Its totient is φ = 15410304.

The previous prime is 55013353. The next prime is 55013369. The reversal of 55013364 is 46331055.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (55013369) 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, 39382 + ... + 40754.

It is an arithmetic number, because the mean of its divisors is an integer number (1731240).

Almost surely, 255013364 is an apocalyptic number.

55013364 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 55013364, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83099520).

55013364 is an abundant number, since it is smaller than the sum of its proper divisors (111185676).

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

55013364 is a wasteful number, since it uses less digits than its factorization.

55013364 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1446 (or 1438 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 27.

The square root of 55013364 is about 7417.0994330668. The cubic root of 55013364 is about 380.3260451918.

The spelling of 55013364 in words is "fifty-five million, thirteen thousand, three hundred sixty-four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 53 54 63 84 106 108 126 159 189 212 252 318 371 378 477 636 742 756 954 1113 1373 1431 1484 1908 2226 2746 2862 3339 4119 4452 5492 5724 6678 8238 9611 10017 12357 13356 16476 19222 20034 24714 28833 37071 38444 40068 49428 57666 72769 74142 86499 115332 145538 148284 172998 218307 259497 291076 345996 436614 509383 518994 654921 873228 1018766 1037988 1309842 1528149 1964763 2037532 2619684 3056298 3929526 4584447 6112596 7859052 9168894 13753341 18337788 27506682 55013364