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465076401 = 31014115287
BaseRepresentation
bin11011101110001…
…000000010110001
31012102010022212220
4123232020002301
51423024421101
6114052111253
714345040606
oct3356100261
91172108786
10465076401
11219583869
1210b905529
137547804a
1445aa46ad
152ac6a636
hex1bb880b1

465076401 has 8 divisors (see below), whose sum is σ = 620203584. Its totient is φ = 310000080.

The previous prime is 465076387. The next prime is 465076411. The reversal of 465076401 is 104670564.

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

It is not a de Polignac number, because 465076401 - 215 = 465043633 is a prime.

It is a super-2 number, since 2×4650764012 = 432592117534225602, which contains 22 as substring.

It is a Smith number, since the sum of its digits (33) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is not an unprimeable number, because it can be changed into a prime (465076411) 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 7 ways as a sum of consecutive naturals, for example, 22780 + ... + 38066.

It is an arithmetic number, because the mean of its divisors is an integer number (77525448).

Almost surely, 2465076401 is an apocalyptic number.

It is an amenable number.

465076401 is a deficient number, since it is larger than the sum of its proper divisors (155127183).

465076401 is a wasteful number, since it uses less digits than its factorization.

465076401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25431.

The product of its (nonzero) digits is 20160, while the sum is 33.

The square root of 465076401 is about 21565.6300858565. The cubic root of 465076401 is about 774.7735174484.

The spelling of 465076401 in words is "four hundred sixty-five million, seventy-six thousand, four hundred one".

Divisors: 1 3 10141 15287 30423 45861 155025467 465076401