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52525000 = 235511191
BaseRepresentation
bin1100100001011…
…1011111001000
310122211112202101
43020113133020
5101421300000
65113443144
71205312053
oct310273710
9118745671
1052525000
11277158a0
12157104b4
13ab607a8
146d93a9a
154927e6a
hex32177c8

52525000 has 96 divisors (see below), whose sum is σ = 134991360. Its totient is φ = 19000000.

The previous prime is 52524971. The next prime is 52525001. The reversal of 52525000 is 52525.

52525000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (52525001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 274905 + ... + 275095.

It is an arithmetic number, because the mean of its divisors is an integer number (1406160).

Almost surely, 252525000 is an apocalyptic number.

52525000 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 52525000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67495680).

52525000 is an abundant number, since it is smaller than the sum of its proper divisors (82466360).

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

52525000 is a wasteful number, since it uses less digits than its factorization.

52525000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 233 (or 209 counting only the distinct ones).

The product of its (nonzero) digits is 500, while the sum is 19.

The square root of 52525000 is about 7247.4133316653. The cubic root of 52525000 is about 374.5030454244.

Adding to 52525000 its reverse (52525), we get a palindrome (52577525).

52525000 divided by its reverse (52525) gives a cube (1000 = 103).

The spelling of 52525000 in words is "fifty-two million, five hundred twenty-five thousand".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 44 50 55 88 100 110 125 191 200 220 250 275 382 440 500 550 625 764 955 1000 1100 1250 1375 1528 1910 2101 2200 2500 2750 3125 3820 4202 4775 5000 5500 6250 6875 7640 8404 9550 10505 11000 12500 13750 16808 19100 21010 23875 25000 27500 34375 38200 42020 47750 52525 55000 68750 84040 95500 105050 119375 137500 191000 210100 238750 262625 275000 420200 477500 525250 596875 955000 1050500 1193750 1313125 2101000 2387500 2626250 4775000 5252500 6565625 10505000 13131250 26262500 52525000