Search a number
-
+
55910790 = 23351317937
BaseRepresentation
bin1101010101001…
…0000110000110
310220012120012000
43111102012012
5103303121130
65314210130
71246143135
oct325220606
9126176160
1055910790
1129618671
1216883946
13b777910
1475d591c
154d96260
hex3552186

55910790 has 128 divisors (see below), whose sum is σ = 170190720. Its totient is φ = 12939264.

The previous prime is 55910759. The next prime is 55910791. The reversal of 55910790 is 9701955.

It is a happy number.

55910790 is a `hidden beast` number, since 559 + 10 + 7 + 90 = 666.

It is a super-3 number, since 3×559107903 (a number of 24 digits) contains 333 as substring.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (55910791) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 59202 + ... + 60138.

It is an arithmetic number, because the mean of its divisors is an integer number (1329615).

Almost surely, 255910790 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 55910790, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85095360).

55910790 is an abundant number, since it is smaller than the sum of its proper divisors (114279930).

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

55910790 is a wasteful number, since it uses less digits than its factorization.

55910790 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 983 (or 977 counting only the distinct ones).

The product of its (nonzero) digits is 14175, while the sum is 36.

The square root of 55910790 is about 7477.3518039477. The cubic root of 55910790 is about 382.3829707335.

The spelling of 55910790 in words is "fifty-five million, nine hundred ten thousand, seven hundred ninety".

Divisors: 1 2 3 5 6 9 10 13 15 17 18 26 27 30 34 39 45 51 54 65 78 85 90 102 117 130 135 153 170 195 221 234 255 270 306 351 390 442 459 510 585 663 702 765 918 937 1105 1170 1326 1530 1755 1874 1989 2210 2295 2811 3315 3510 3978 4590 4685 5622 5967 6630 8433 9370 9945 11934 12181 14055 15929 16866 19890 24362 25299 28110 29835 31858 36543 42165 47787 50598 59670 60905 73086 79645 84330 95574 109629 121810 126495 143361 159290 182715 207077 219258 238935 252990 286722 328887 365430 414154 430083 477870 548145 621231 657774 716805 860166 1035385 1096290 1242462 1433610 1644435 1863693 2070770 2150415 3106155 3288870 3727386 4300830 5591079 6212310 9318465 11182158 18636930 27955395 55910790