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460893042 = 23225605169
BaseRepresentation
bin11011011110001…
…010101101110010
31012010020210101200
4123132022231302
51420442034132
6113422312030
714264345331
oct3336125562
91163223350
10460893042
11217186845
1210a428616
1374641b9c
14452d5d18
152a6e0d7c
hex1b78ab72

460893042 has 12 divisors (see below), whose sum is σ = 998601630. Its totient is φ = 153631008.

The previous prime is 460893007. The next prime is 460893061. The reversal of 460893042 is 240398064.

It is a happy number.

460893042 is a `hidden beast` number, since 4 + 608 + 9 + 3 + 0 + 42 = 666.

It can be written as a sum of positive squares in only one way, i.e., 341843121 + 119049921 = 18489^2 + 10911^2 .

It is a junction number, because it is equal to n+sod(n) for n = 460892988 and 460893006.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 12802567 + ... + 12802602.

Almost surely, 2460893042 is an apocalyptic number.

460893042 is an abundant number, since it is smaller than the sum of its proper divisors (537708588).

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

460893042 is a wasteful number, since it uses less digits than its factorization.

460893042 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25605177 (or 25605174 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 460893042 is about 21468.4196437465. The cubic root of 460893042 is about 772.4434897551.

The spelling of 460893042 in words is "four hundred sixty million, eight hundred ninety-three thousand, forty-two".

Divisors: 1 2 3 6 9 18 25605169 51210338 76815507 153631014 230446521 460893042