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52731200 = 265232957
BaseRepresentation
bin1100100100100…
…1110101000000
310200020000121102
43021021311000
5101444344300
65122113532
71210131164
oct311116500
9120200542
1052731200
1127846805
12157ab8a8
13ac035c2
147008ca4
1549690d5
hex3249d40

52731200 has 42 divisors (see below), whose sum is σ = 129755646. Its totient is φ = 21091840.

The previous prime is 52731199. The next prime is 52731209. The reversal of 52731200 is 213725.

It can be written as a sum of positive squares in 3 ways, for example, as 15178816 + 37552384 = 3896^2 + 6128^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (52731209) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 14879 + ... + 18078.

Almost surely, 252731200 is an apocalyptic number.

52731200 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

52731200 is an abundant number, since it is smaller than the sum of its proper divisors (77024446).

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

52731200 is a wasteful number, since it uses less digits than its factorization.

52731200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32979 (or 32964 counting only the distinct ones).

The product of its (nonzero) digits is 420, while the sum is 20.

The square root of 52731200 is about 7261.6251624550. The cubic root of 52731200 is about 374.9924739230.

Adding to 52731200 its reverse (213725), we get a palindrome (52944925).

The spelling of 52731200 in words is "fifty-two million, seven hundred thirty-one thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 160 200 320 400 800 1600 32957 65914 131828 164785 263656 329570 527312 659140 823925 1054624 1318280 1647850 2109248 2636560 3295700 5273120 6591400 10546240 13182800 26365600 52731200