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463002053 = 3741305209
BaseRepresentation
bin11011100110001…
…101100111000101
31012021012221102012
4123212031213011
51422012031203
6113535424005
714321311133
oct3346154705
91167187365
10463002053
11218397328
1210b085005
1374bccb17
14456c4753
152a9aabd8
hex1b98d9c5

463002053 has 8 divisors (see below), whose sum is σ = 487115160. Its totient is φ = 439499520.

The previous prime is 463002041. The next prime is 463002083. The reversal of 463002053 is 350200364.

It can be written as a sum of positive squares in 4 ways, for example, as 75030244 + 387971809 = 8662^2 + 19697^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 463002053 - 24 = 463002037 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (463002083) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 151088 + ... + 154121.

It is an arithmetic number, because the mean of its divisors is an integer number (60889395).

Almost surely, 2463002053 is an apocalyptic number.

It is an amenable number.

463002053 is a deficient number, since it is larger than the sum of its proper divisors (24113107).

463002053 is a wasteful number, since it uses less digits than its factorization.

463002053 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 305287.

The product of its (nonzero) digits is 2160, while the sum is 23.

The square root of 463002053 is about 21517.4824967978. The cubic root of 463002053 is about 773.6199111082.

The spelling of 463002053 in words is "four hundred sixty-three million, two thousand, fifty-three".

Divisors: 1 37 41 1517 305209 11292733 12513569 463002053