Search a number
-
+
55561950 = 2355217269
BaseRepresentation
bin1101001111110…
…0111011011110
310212112211200000
43103330323132
5103210440300
65302515130
71243161123
oct323747336
9125484600
1055561950
11293aa574
1216735aa6
13b684bc2
14754474a
154d27c00
hex34fcede

55561950 has 144 divisors (see below), whose sum is σ = 164520720. Its totient is φ = 13893120.

The previous prime is 55561949. The next prime is 55561963. The reversal of 55561950 is 5916555.

55561950 is a `hidden beast` number, since 5 + 5 + 561 + 95 + 0 = 666.

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, 206416 + ... + 206684.

It is an arithmetic number, because the mean of its divisors is an integer number (1142505).

Almost surely, 255561950 is an apocalyptic number.

55561950 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 55561950, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82260360).

55561950 is an abundant number, since it is smaller than the sum of its proper divisors (108958770).

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

55561950 is a wasteful number, since it uses less digits than its factorization.

55561950 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 313 (or 296 counting only the distinct ones).

The product of its (nonzero) digits is 33750, while the sum is 36.

The square root of 55561950 is about 7453.9888650306. The cubic root of 55561950 is about 381.5860532461.

The spelling of 55561950 in words is "fifty-five million, five hundred sixty-one thousand, nine hundred fifty".

Divisors: 1 2 3 5 6 9 10 15 17 18 25 27 30 34 45 50 51 54 75 81 85 90 102 135 150 153 162 170 225 243 255 269 270 306 405 425 450 459 486 510 538 675 765 807 810 850 918 1215 1275 1345 1350 1377 1530 1614 2025 2295 2421 2430 2550 2690 2754 3825 4035 4050 4131 4573 4590 4842 6075 6725 6885 7263 7650 8070 8262 9146 11475 12105 12150 13450 13719 13770 14526 20175 20655 21789 22865 22950 24210 27438 34425 36315 40350 41157 41310 43578 45730 60525 65367 68595 68850 72630 82314 103275 108945 114325 121050 123471 130734 137190 181575 205785 206550 217890 228650 246942 326835 342975 363150 370413 411570 544725 617355 653670 685950 740826 1028925 1089450 1111239 1234710 1634175 1852065 2057850 2222478 3086775 3268350 3704130 5556195 6173550 9260325 11112390 18520650 27780975 55561950