Search a number
-
+
55768860 = 22325726323
BaseRepresentation
bin1101010010111…
…1011100011100
310212221100111100
43110233130130
5103234100420
65311153100
71245012300
oct324573434
9125840440
1055768860
1129530a74
1216815790
13b728134
147599d00
154d69190
hex352f71c

55768860 has 108 divisors (see below), whose sum is σ = 196815528. Its totient is φ = 12745152.

The previous prime is 55768849. The next prime is 55768871. The reversal of 55768860 is 6886755.

It is an interprime number because it is at equal distance from previous prime (55768849) and next prime (55768871).

It is a super-2 number, since 2×557688602 = 6220331491399200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 5659 + ... + 11981.

It is an arithmetic number, because the mean of its divisors is an integer number (1822366).

Almost surely, 255768860 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 55768860, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98407764).

55768860 is an abundant number, since it is smaller than the sum of its proper divisors (141046668).

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

55768860 is a wasteful number, since it uses less digits than its factorization.

55768860 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6352 (or 6340 counting only the distinct ones).

The product of its (nonzero) digits is 403200, while the sum is 45.

The square root of 55768860 is about 7467.8551137525. The cubic root of 55768860 is about 382.0591357880.

The spelling of 55768860 in words is "fifty-five million, seven hundred sixty-eight thousand, eight hundred sixty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 28 30 35 36 42 45 49 60 63 70 84 90 98 105 126 140 147 180 196 210 245 252 294 315 420 441 490 588 630 735 882 980 1260 1470 1764 2205 2940 4410 6323 8820 12646 18969 25292 31615 37938 44261 56907 63230 75876 88522 94845 113814 126460 132783 177044 189690 221305 227628 265566 284535 309827 379380 398349 442610 531132 569070 619654 663915 796698 885220 929481 1138140 1239308 1327830 1549135 1593396 1858962 1991745 2655660 2788443 3098270 3717924 3983490 4647405 5576886 6196540 7966980 9294810 11153772 13942215 18589620 27884430 55768860