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52575000 = 23355701
BaseRepresentation
bin1100100010001…
…1101100011000
310122221002100020
43020203230120
5101424400000
65114510440
71205610612
oct310435430
9118832306
1052575000
112774a415
1215735420
13ab7a48a
146da7db2
154937ba0
hex3223b18

52575000 has 96 divisors (see below), whose sum is σ = 164520720. Its totient is φ = 14000000.

The previous prime is 52574971. The next prime is 52575001. The reversal of 52575000 is 57525.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (52575001) 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 23 ways as a sum of consecutive naturals, for example, 74650 + ... + 75350.

Almost surely, 252575000 is an apocalyptic number.

52575000 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 52575000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82260360).

52575000 is an abundant number, since it is smaller than the sum of its proper divisors (111945720).

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

52575000 is an equidigital number, since it uses as much as digits as its factorization.

52575000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 735 (or 711 counting only the distinct ones).

The product of its (nonzero) digits is 1750, while the sum is 24.

The square root of 52575000 is about 7250.8620177190. The cubic root of 52575000 is about 374.6218410058.

The spelling of 52575000 in words is "fifty-two million, five hundred seventy-five thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 125 150 200 250 300 375 500 600 625 701 750 1000 1250 1402 1500 1875 2103 2500 2804 3000 3125 3505 3750 4206 5000 5608 6250 7010 7500 8412 9375 10515 12500 14020 15000 16824 17525 18750 21030 25000 28040 35050 37500 42060 52575 70100 75000 84120 87625 105150 140200 175250 210300 262875 350500 420600 438125 525750 701000 876250 1051500 1314375 1752500 2103000 2190625 2628750 3505000 4381250 5257500 6571875 8762500 10515000 13143750 17525000 26287500 52575000