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5052366400 = 265217772
BaseRepresentation
bin1001011010010010…
…01111111001000000
3111001002220210202111
410231021033321000
540321401211100
62153201425104
7236126256124
oct45511177100
914032823674
105052366400
112162a24724
12b9003b194
13626965123
1435d013584
151e884c6ba
hex12d24fe40

5052366400 has 63 divisors (see below), whose sum is σ = 12438979059. Its totient is φ = 2019809280.

The previous prime is 5052366377. The next prime is 5052366401. The reversal of 5052366400 is 46632505.

The square root of 5052366400 is 71080.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 91699776 + 4960666624 = 9576^2 + 70432^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (5052366401) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 2842312 + ... + 2844088.

Almost surely, 25052366400 is an apocalyptic number.

5052366400 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

5052366400 is the 71080-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5052366400

5052366400 is an abundant number, since it is smaller than the sum of its proper divisors (7386612659).

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

5052366400 is an frugal number, since it uses more digits than its factorization.

5052366400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3576 (or 1784 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 31.

The cubic root of 5052366400 is about 1715.9249119959.

Adding to 5052366400 its reverse (46632505), we get a palindrome (5098998905).

The spelling of 5052366400 in words is "five billion, fifty-two million, three hundred sixty-six thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 160 200 320 400 800 1600 1777 3554 7108 8885 14216 17770 28432 35540 44425 56864 71080 88850 113728 142160 177700 284320 355400 568640 710800 1421600 2843200 3157729 6315458 12630916 15788645 25261832 31577290 50523664 63154580 78943225 101047328 126309160 157886450 202094656 252618320 315772900 505236640 631545800 1010473280 1263091600 2526183200 5052366400