Search a number
-
+
55438110 = 23257213967
BaseRepresentation
bin1101001101111…
…0101100011110
310212022112210100
43103132230132
5103143004420
65300121530
71242134100
oct323365436
9125275710
1055438110
1129325522
12166962a6
13b640720
147511570
154d01190
hex34deb1e

55438110 has 144 divisors (see below), whose sum is σ = 180756576. Its totient is φ = 11684736.

The previous prime is 55438063. The next prime is 55438121. The reversal of 55438110 is 1183455.

55438110 is a `hidden beast` number, since 5 + 543 + 8 + 110 = 666.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 56847 + ... + 57813.

It is an arithmetic number, because the mean of its divisors is an integer number (1255254).

Almost surely, 255438110 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 55438110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90378288).

55438110 is an abundant number, since it is smaller than the sum of its proper divisors (125318466).

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

55438110 is a wasteful number, since it uses less digits than its factorization.

55438110 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1007 (or 997 counting only the distinct ones).

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

The square root of 55438110 is about 7445.6772693960. The cubic root of 55438110 is about 381.3023412864.

The spelling of 55438110 in words is "fifty-five million, four hundred thirty-eight thousand, one hundred ten".

Divisors: 1 2 3 5 6 7 9 10 13 14 15 18 21 26 30 35 39 42 45 49 63 65 70 78 90 91 98 105 117 126 130 147 182 195 210 234 245 273 294 315 390 441 455 490 546 585 630 637 735 819 882 910 967 1170 1274 1365 1470 1638 1911 1934 2205 2730 2901 3185 3822 4095 4410 4835 5733 5802 6370 6769 8190 8703 9555 9670 11466 12571 13538 14505 17406 19110 20307 25142 28665 29010 33845 37713 40614 43515 47383 57330 60921 62855 67690 75426 87030 87997 94766 101535 113139 121842 125710 142149 175994 188565 203070 226278 236915 263991 284298 304605 377130 426447 439985 473830 527982 565695 609210 615979 710745 791973 852894 879970 1131390 1231958 1319955 1421490 1583946 1847937 2132235 2639910 3079895 3695874 3959865 4264470 5543811 6159790 7919730 9239685 11087622 18479370 27719055 55438110