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4825813392 = 2432171971329
BaseRepresentation
bin1000111111010010…
…00001000110010000
3110110022121201110100
410133221001012100
534340402012032
62114505532400
7230405510541
oct43751010620
913408551410
104825813392
112057056034
12b281a4100
135bba41aaa
1433acbc4c8
151d39ea97c
hex11fa41190

4825813392 has 60 divisors (see below), whose sum is σ = 14300027820. Its totient is φ = 1513979904.

The previous prime is 4825813387. The next prime is 4825813397. The reversal of 4825813392 is 2933185284.

4825813392 is a `hidden beast` number, since 4 + 8 + 258 + 1 + 3 + 392 = 666.

It is an interprime number because it is at equal distance from previous prime (4825813387) and next prime (4825813397).

It can be written as a sum of positive squares in 2 ways, for example, as 2971994256 + 1853819136 = 54516^2 + 43056^2 .

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (4825813397) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 983217 + ... + 988112.

It is an arithmetic number, because the mean of its divisors is an integer number (238333797).

Almost surely, 24825813392 is an apocalyptic number.

It is an amenable number.

4825813392 is an abundant number, since it is smaller than the sum of its proper divisors (9474214428).

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

4825813392 is a wasteful number, since it uses less digits than its factorization.

4825813392 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1971360 (or 1971351 counting only the distinct ones).

The product of its digits is 414720, while the sum is 45.

The square root of 4825813392 is about 69468.0746242474. The cubic root of 4825813392 is about 1689.8837953315.

The spelling of 4825813392 in words is "four billion, eight hundred twenty-five million, eight hundred thirteen thousand, three hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 34 36 48 51 68 72 102 136 144 153 204 272 306 408 612 816 1224 2448 1971329 3942658 5913987 7885316 11827974 15770632 17741961 23655948 31541264 33512593 35483922 47311896 67025186 70967844 94623792 100537779 134050372 141935688 201075558 268100744 283871376 301613337 402151116 536201488 603226674 804302232 1206453348 1608604464 2412906696 4825813392