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52643000 = 235361863
BaseRepresentation
bin1100100011010…
…0010010111000
310200001112121202
43020310102320
5101434034000
65120153332
71206313064
oct310642270
9120045552
1052643000
1127796513
1215768848
13aba2407
146dc4aa4
15494cdd5
hex32344b8

52643000 has 64 divisors (see below), whose sum is σ = 125349120. Its totient is φ = 20688000.

The previous prime is 52642963. The next prime is 52643011. The reversal of 52643000 is 34625.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 60569 + ... + 61431.

It is an arithmetic number, because the mean of its divisors is an integer number (1958580).

Almost surely, 252643000 is an apocalyptic number.

52643000 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 52643000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62674560).

52643000 is an abundant number, since it is smaller than the sum of its proper divisors (72706120).

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

52643000 is a wasteful number, since it uses less digits than its factorization.

52643000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 945 (or 931 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 20.

The square root of 52643000 is about 7255.5496001337. The cubic root of 52643000 is about 374.7832821872.

Adding to 52643000 its reverse (34625), we get a palindrome (52677625).

The spelling of 52643000 in words is "fifty-two million, six hundred forty-three thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 61 100 122 125 200 244 250 305 488 500 610 863 1000 1220 1525 1726 2440 3050 3452 4315 6100 6904 7625 8630 12200 15250 17260 21575 30500 34520 43150 52643 61000 86300 105286 107875 172600 210572 215750 263215 421144 431500 526430 863000 1052860 1316075 2105720 2632150 5264300 6580375 10528600 13160750 26321500 52643000