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55930200 = 2335231297
BaseRepresentation
bin1101010101011…
…0110101011000
310220020112210220
43111112311120
5103304231300
65314440040
71246253544
oct325266530
9126215726
1055930200
1129631207
1216893020
13b7836c1
1475dca24
154d9bda0
hex3556d58

55930200 has 144 divisors (see below), whose sum is σ = 181004040. Its totient is φ = 14284800.

The previous prime is 55930163. The next prime is 55930201. The reversal of 55930200 is 203955.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (55930201) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 576552 + ... + 576648.

Almost surely, 255930200 is an apocalyptic number.

55930200 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 55930200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90502020).

55930200 is an abundant number, since it is smaller than the sum of its proper divisors (125073840).

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

55930200 is a wasteful number, since it uses less digits than its factorization.

55930200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 178 (or 138 counting only the distinct ones).

The product of its (nonzero) digits is 1350, while the sum is 24.

The square root of 55930200 is about 7478.6496107252. The cubic root of 55930200 is about 382.4272149944.

The spelling of 55930200 in words is "fifty-five million, nine hundred thirty thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 31 40 50 60 62 75 93 97 100 120 124 150 155 186 194 200 248 291 300 310 372 388 465 485 582 600 620 744 775 776 930 961 970 1164 1240 1455 1550 1860 1922 1940 2325 2328 2425 2883 2910 3007 3100 3720 3844 3880 4650 4805 4850 5766 5820 6014 6200 7275 7688 9021 9300 9610 9700 11532 11640 12028 14415 14550 15035 18042 18600 19220 19400 23064 24025 24056 28830 29100 30070 36084 38440 45105 48050 57660 58200 60140 72075 72168 75175 90210 93217 96100 115320 120280 144150 150350 180420 186434 192200 225525 279651 288300 300700 360840 372868 451050 466085 559302 576600 601400 745736 902100 932170 1118604 1398255 1804200 1864340 2237208 2330425 2796510 3728680 4660850 5593020 6991275 9321700 11186040 13982550 18643400 27965100 55930200