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252373500 = 223253173299
BaseRepresentation
bin11110000101011…
…10100111111100
3122120212220100200
433002232213330
51004101423000
641013123500
76153065541
oct1702564774
9576786320
10252373500
1111a504a45
1270629590
1340393b42
1425736bc8
1517252500
hexf0ae9fc

252373500 has 144 divisors (see below), whose sum is σ = 843242400. Its totient is φ = 63321600.

The previous prime is 252373489. The next prime is 252373501. The reversal of 252373500 is 5373252.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (252373501) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 74851 + ... + 78149.

It is an arithmetic number, because the mean of its divisors is an integer number (5855850).

Almost surely, 2252373500 is an apocalyptic number.

252373500 is a gapful number since it is divisible by the number (20) 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 252373500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (421621200).

252373500 is an abundant number, since it is smaller than the sum of its proper divisors (590868900).

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

252373500 is a wasteful number, since it uses less digits than its factorization.

252373500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3341 (or 3326 counting only the distinct ones).

The product of its (nonzero) digits is 6300, while the sum is 27.

The square root of 252373500 is about 15886.2676548017. The cubic root of 252373500 is about 631.9478639629.

The spelling of 252373500 in words is "two hundred fifty-two million, three hundred seventy-three thousand, five hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 17 18 20 25 30 34 36 45 50 51 60 68 75 85 90 100 102 125 150 153 170 180 204 225 250 255 300 306 340 375 425 450 500 510 612 750 765 850 900 1020 1125 1275 1500 1530 1700 2125 2250 2550 3060 3299 3825 4250 4500 5100 6375 6598 7650 8500 9897 12750 13196 15300 16495 19125 19794 25500 29691 32990 38250 39588 49485 56083 59382 65980 76500 82475 98970 112166 118764 148455 164950 168249 197940 224332 247425 280415 296910 329900 336498 412375 494850 504747 560830 593820 672996 742275 824750 841245 989700 1009494 1121660 1237125 1402075 1484550 1649500 1682490 2018988 2474250 2523735 2804150 2969100 3364980 3711375 4206225 4948500 5047470 5608300 7010375 7422750 8412450 10094940 12618675 14020750 14845500 16824900 21031125 25237350 28041500 42062250 50474700 63093375 84124500 126186750 252373500