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55028100 = 22352316197
BaseRepresentation
bin1101000111101…
…0100110000100
310211112201100210
43101322212010
5103041344400
65243235420
71235505531
oct321724604
9124481323
1055028100
1129075476
1216518b70
13b528c0a
147445d88
154c6e950
hex347a984

55028100 has 144 divisors (see below), whose sum is σ = 168766976. Its totient is φ = 13824000.

The previous prime is 55028021. The next prime is 55028101. The reversal of 55028100 is 182055.

It is a super-2 number, since 2×550281002 = 6056183579220000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (55028101) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 567252 + ... + 567348.

Almost surely, 255028100 is an apocalyptic number.

55028100 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 55028100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84383488).

55028100 is an abundant number, since it is smaller than the sum of its proper divisors (113738876).

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

55028100 is a wasteful number, since it uses less digits than its factorization.

55028100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 206 (or 199 counting only the distinct ones).

The product of its (nonzero) digits is 400, while the sum is 21.

The square root of 55028100 is about 7418.0927467915. The cubic root of 55028100 is about 380.3600004823.

The spelling of 55028100 in words is "fifty-five million, twenty-eight thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 31 50 60 61 62 75 93 97 100 122 124 150 155 183 186 194 244 291 300 305 310 366 372 388 465 485 582 610 620 732 775 915 930 970 1164 1220 1455 1525 1550 1830 1860 1891 1940 2325 2425 2910 3007 3050 3100 3660 3782 4575 4650 4850 5673 5820 5917 6014 6100 7275 7564 9021 9150 9300 9455 9700 11346 11834 12028 14550 15035 17751 18042 18300 18910 22692 23668 28365 29100 29585 30070 35502 36084 37820 45105 47275 56730 59170 60140 71004 75175 88755 90210 94550 113460 118340 141825 147925 150350 177510 180420 183427 189100 225525 283650 295850 300700 355020 366854 443775 451050 550281 567300 591700 733708 887550 902100 917135 1100562 1775100 1834270 2201124 2751405 3668540 4585675 5502810 9171350 11005620 13757025 18342700 27514050 55028100