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576504968 = 231326532
BaseRepresentation
bin100010010111001…
…100010010001000
31111011210111010212
4202113030102020
52140041124333
6133112300252
720200132334
oct4227142210
91434714125
10576504968
11276470796
121410a1688
1392590700
14567cc7c4
153592b448
hex225cc488

576504968 has 36 divisors (see below), whose sum is σ = 1172287935. Its totient is φ = 265671744.

The previous prime is 576504967. The next prime is 576505021. The reversal of 576504968 is 869405675.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 5 ways, for example, as 7300804 + 569204164 = 2702^2 + 23858^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=16978.

It is not an unprimeable number, because it can be changed into a prime (576504967) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 882530 + ... + 883182.

Almost surely, 2576504968 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 576504968

576504968 is an abundant number, since it is smaller than the sum of its proper divisors (595782967).

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

576504968 is an equidigital number, since it uses as much as digits as its factorization.

576504968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1338 (or 668 counting only the distinct ones).

The product of its (nonzero) digits is 1814400, while the sum is 50.

The square root of 576504968 is about 24010.5178619704. The cubic root of 576504968 is about 832.2766007414.

Multiplying 576504968 by its sum of digits (50), we get a square (28825248400 = 1697802).

The spelling of 576504968 in words is "five hundred seventy-six million, five hundred four thousand, nine hundred sixty-eight".

Divisors: 1 2 4 8 13 26 52 104 169 338 653 676 1306 1352 2612 5224 8489 16978 33956 67912 110357 220714 426409 441428 852818 882856 1705636 3411272 5543317 11086634 22173268 44346536 72063121 144126242 288252484 576504968