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52513300 = 2252731531
BaseRepresentation
bin1100100001010…
…0101000010100
310122210221201001
43020110220110
5101420411200
65113313044
71205233000
oct310245024
9118727631
1052513300
1127708024
1215705784
13ab58378
146d8d700
15492476a
hex3214a14

52513300 has 72 divisors (see below), whose sum is σ = 132977600. Its totient is φ = 17992800.

The previous prime is 52513297. The next prime is 52513309. The reversal of 52513300 is 331525.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (52513309) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 33535 + ... + 35065.

Almost surely, 252513300 is an apocalyptic number.

52513300 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 52513300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66488800).

52513300 is an abundant number, since it is smaller than the sum of its proper divisors (80464300).

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

52513300 is a wasteful number, since it uses less digits than its factorization.

52513300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1566 (or 1545 counting only the distinct ones).

The product of its (nonzero) digits is 450, while the sum is 19.

The square root of 52513300 is about 7246.6061021695. The cubic root of 52513300 is about 374.4752363746.

Adding to 52513300 its reverse (331525), we get a palindrome (52844825).

The spelling of 52513300 in words is "fifty-two million, five hundred thirteen thousand, three hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 49 50 70 98 100 140 175 196 245 343 350 490 686 700 980 1225 1372 1531 1715 2450 3062 3430 4900 6124 6860 7655 8575 10717 15310 17150 21434 30620 34300 38275 42868 53585 75019 76550 107170 150038 153100 214340 267925 300076 375095 525133 535850 750190 1050266 1071700 1500380 1875475 2100532 2625665 3750950 5251330 7501900 10502660 13128325 26256650 52513300