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55251300 = 223521331457
BaseRepresentation
bin1101001011000…
…1000101100100
310211222001112110
43102301011210
5103121020200
65252121020
71240425336
oct322610544
9124861473
1055251300
1129208135
1216606170
13b5a66a0
1474a3456
154cb5b50
hex34b1164

55251300 has 144 divisors (see below), whose sum is σ = 178099712. Its totient is φ = 13132800.

The previous prime is 55251263. The next prime is 55251307. The reversal of 55251300 is 315255.

It is not an unprimeable number, because it can be changed into a prime (55251307) 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 47 ways as a sum of consecutive naturals, for example, 120672 + ... + 121128.

Almost surely, 255251300 is an apocalyptic number.

55251300 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 55251300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89049856).

55251300 is an abundant number, since it is smaller than the sum of its proper divisors (122848412).

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

55251300 is a wasteful number, since it uses less digits than its factorization.

55251300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 518 (or 511 counting only the distinct ones).

The product of its (nonzero) digits is 750, while the sum is 21.

The square root of 55251300 is about 7433.1218206081. The cubic root of 55251300 is about 380.8735673515.

Adding to 55251300 its reverse (315255), we get a palindrome (55566555).

The spelling of 55251300 in words is "fifty-five million, two hundred fifty-one thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 25 26 30 31 39 50 52 60 62 65 75 78 93 100 124 130 150 155 156 186 195 260 300 310 325 372 390 403 457 465 620 650 775 780 806 914 930 975 1209 1300 1371 1550 1612 1828 1860 1950 2015 2285 2325 2418 2742 3100 3900 4030 4570 4650 4836 5484 5941 6045 6855 8060 9140 9300 10075 11425 11882 12090 13710 14167 17823 20150 22850 23764 24180 27420 28334 29705 30225 34275 35646 40300 42501 45700 56668 59410 60450 68550 70835 71292 85002 89115 118820 120900 137100 141670 148525 170004 178230 184171 212505 283340 297050 354175 356460 368342 425010 445575 552513 594100 708350 736684 850020 891150 920855 1062525 1105026 1416700 1782300 1841710 2125050 2210052 2762565 3683420 4250100 4604275 5525130 9208550 11050260 13812825 18417100 27625650 55251300