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52413300 = 22325258237
BaseRepresentation
bin1100011111110…
…0001101110100
310122121212112100
43013330031310
5101404211200
65111222100
71204335312
oct307741564
9118555470
1052413300
1127649985
1215677930
13ab219b4
146d650b2
154904d00
hex31fc374

52413300 has 54 divisors (see below), whose sum is σ = 164289398. Its totient is φ = 13976640.

The previous prime is 52413289. The next prime is 52413307. The reversal of 52413300 is 331425.

It can be written as a sum of positive squares in 3 ways, for example, as 7817616 + 44595684 = 2796^2 + 6678^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (52413307) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 28219 + ... + 30018.

Almost surely, 252413300 is an apocalyptic number.

52413300 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

52413300 is an abundant number, since it is smaller than the sum of its proper divisors (111876098).

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

52413300 is a wasteful number, since it uses less digits than its factorization.

52413300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58257 (or 58247 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 18.

The square root of 52413300 is about 7239.7030325836. The cubic root of 52413300 is about 374.2373834942.

Adding to 52413300 its reverse (331425), we get a palindrome (52744725).

It can be divided in two parts, 524 and 13300, that added together give a cube (13824 = 243).

The spelling of 52413300 in words is "fifty-two million, four hundred thirteen thousand, three hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 30 36 45 50 60 75 90 100 150 180 225 300 450 900 58237 116474 174711 232948 291185 349422 524133 582370 698844 873555 1048266 1164740 1455925 1747110 2096532 2620665 2911850 3494220 4367775 5241330 5823700 8735550 10482660 13103325 17471100 26206650 52413300