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55045900 = 225271323263
BaseRepresentation
bin1101000111111…
…0111100001100
310211120121210001
43101332330030
5103042432100
65243454044
71235611450
oct321767414
9124517701
1055045900
1129087888
1216527324
13b534050
14744c660
154c74d6a
hex347ef0c

55045900 has 144 divisors (see below), whose sum is σ = 153990144. Its totient is φ = 16600320.

The previous prime is 55045873. The next prime is 55045919. The reversal of 55045900 is 954055.

It is a super-2 number, since 2×550459002 = 6060102213620000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 209169 + ... + 209431.

It is an arithmetic number, because the mean of its divisors is an integer number (1069376).

Almost surely, 255045900 is an apocalyptic number.

55045900 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 55045900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76995072).

55045900 is an abundant number, since it is smaller than the sum of its proper divisors (98944244).

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

55045900 is a wasteful number, since it uses less digits than its factorization.

55045900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 320 (or 313 counting only the distinct ones).

The product of its (nonzero) digits is 4500, while the sum is 28.

The square root of 55045900 is about 7419.2924190923. The cubic root of 55045900 is about 380.4010078836.

Adding to 55045900 its reverse (954055), we get a palindrome (55999955).

It can be divided in two parts, 55045 and 900, that added together give a triangular number (55945 = T334).

The spelling of 55045900 in words is "fifty-five million, forty-five thousand, nine hundred".

Divisors: 1 2 4 5 7 10 13 14 20 23 25 26 28 35 46 50 52 65 70 91 92 100 115 130 140 161 175 182 230 260 263 299 322 325 350 364 455 460 526 575 598 644 650 700 805 910 1052 1150 1196 1300 1315 1495 1610 1820 1841 2093 2275 2300 2630 2990 3220 3419 3682 4025 4186 4550 5260 5980 6049 6575 6838 7364 7475 8050 8372 9100 9205 10465 12098 13150 13676 14950 16100 17095 18410 20930 23933 24196 26300 29900 30245 34190 36820 41860 42343 46025 47866 52325 60490 68380 78637 84686 85475 92050 95732 104650 119665 120980 151225 157274 169372 170950 184100 209300 211715 239330 302450 314548 341900 393185 423430 478660 550459 598325 604900 786370 846860 1058575 1100918 1196650 1572740 1965925 2117150 2201836 2393300 2752295 3931850 4234300 5504590 7863700 11009180 13761475 27522950 55045900