Search a number
-
+
52922082304 = 21072132792
BaseRepresentation
bin110001010010011001…
…101110010000000000
312001121020020022222101
4301102121232100000
51331341023113204
640151223520144
73552313164100
oct612231562000
9161536208871
1052922082304
1120498154803
12a30b5b9054
134cb5272900
1427c0853200
15159b196ea4
hexc5266e400

52922082304 has 297 divisors, whose sum is σ = 134967616497. Its totient is φ = 20671193088.

The previous prime is 52922082299. The next prime is 52922082337. The reversal of 52922082304 is 40328022925.

The square root of 52922082304 is 230048.

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

It can be written as a sum of positive squares in only one way, i.e., 7828710400 + 45093371904 = 88480^2 + 212352^2 .

It is an unprimeable number.

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 26 ways as a sum of consecutive naturals, for example, 669899737 + ... + 669899815.

Almost surely, 252922082304 is an apocalyptic number.

52922082304 is the 230048-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 52922082304

52922082304 is an abundant number, since it is smaller than the sum of its proper divisors (82045534193).

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

52922082304 is an equidigital number, since it uses as much as digits as its factorization.

52922082304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 218 (or 101 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 37.

It can be divided in two parts, 529220 and 82304, that added together give a square (611524 = 7822).

The spelling of 52922082304 in words is "fifty-two billion, nine hundred twenty-two million, eighty-two thousand, three hundred four".