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252058500 = 22335318671
BaseRepresentation
bin11110000011000…
…01101110000100
3122120021220021000
433001201232010
51004011333000
641002253300
76150314301
oct1701415604
9576256230
10252058500
1111a30a311
12704b7230
13402b3655
14256940a8
15171de000
hexf061b84

252058500 has 96 divisors (see below), whose sum is σ = 815592960. Its totient is φ = 67212000.

The previous prime is 252058481. The next prime is 252058511. The reversal of 252058500 is 5850252.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4165 + ... + 22835.

It is an arithmetic number, because the mean of its divisors is an integer number (8495760).

Almost surely, 2252058500 is an apocalyptic number.

252058500 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 252058500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (407796480).

252058500 is an abundant number, since it is smaller than the sum of its proper divisors (563534460).

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

252058500 is a wasteful number, since it uses less digits than its factorization.

252058500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18699 (or 18681 counting only the distinct ones).

The product of its (nonzero) digits is 4000, while the sum is 27.

The square root of 252058500 is about 15876.3503362706. The cubic root of 252058500 is about 631.6848325761.

The spelling of 252058500 in words is "two hundred fifty-two million, fifty-eight thousand, five hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 27 30 36 45 50 54 60 75 90 100 108 125 135 150 180 225 250 270 300 375 450 500 540 675 750 900 1125 1350 1500 2250 2700 3375 4500 6750 13500 18671 37342 56013 74684 93355 112026 168039 186710 224052 280065 336078 373420 466775 504117 560130 672156 840195 933550 1008234 1120260 1400325 1680390 1867100 2016468 2333875 2520585 2800650 3360780 4200975 4667750 5041170 5601300 7001625 8401950 9335500 10082340 12602925 14003250 16803900 21004875 25205850 28006500 42009750 50411700 63014625 84019500 126029250 252058500