Search a number
-
+
55779444 = 223272103307
BaseRepresentation
bin1101010011001…
…0000001110100
310212221220000100
43110302001310
5103234420234
65311314100
71245055200
oct324620164
9125856010
1055779444
1129538a16
121681b930
13b72cbb6
14759db00
154d6c399
hex3532074

55779444 has 108 divisors (see below), whose sum is σ = 166149984. Its totient is φ = 15730848.

The previous prime is 55779419. The next prime is 55779457. The reversal of 55779444 is 44497755.

55779444 is a `hidden beast` number, since 557 + 7 + 94 + 4 + 4 = 666.

It is a super-2 number, since 2×557794442 = 6222692745898272, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 55779444.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 181539 + ... + 181845.

Almost surely, 255779444 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 55779444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83074992).

55779444 is an abundant number, since it is smaller than the sum of its proper divisors (110370540).

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

55779444 is a wasteful number, since it uses less digits than its factorization.

55779444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 434 (or 422 counting only the distinct ones).

The product of its digits is 705600, while the sum is 45.

The square root of 55779444 is about 7468.5637173422. The cubic root of 55779444 is about 382.0833037443.

The spelling of 55779444 in words is "fifty-five million, seven hundred seventy-nine thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 49 63 84 98 103 126 147 196 206 252 294 307 309 412 441 588 614 618 721 882 921 927 1228 1236 1442 1764 1842 1854 2149 2163 2763 2884 3684 3708 4298 4326 5047 5526 6447 6489 8596 8652 10094 11052 12894 12978 15043 15141 19341 20188 25788 25956 30086 30282 31621 38682 45129 45423 60172 60564 63242 77364 90258 90846 94863 126484 135387 180516 181692 189726 221347 270774 284589 379452 442694 541548 569178 664041 885388 1138356 1328082 1549429 1992123 2656164 3098858 3984246 4648287 6197716 7968492 9296574 13944861 18593148 27889722 55779444