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464006257 = 11136015399
BaseRepresentation
bin11011101010000…
…010110001110001
31012100002221220221
4123222002301301
51422241200012
6114013133041
714332662631
oct3352026161
91170087827
10464006257
11218a12850
1210b48a181
1375191c20
14458a66c1
152ab08507
hex1ba82c71

464006257 has 16 divisors (see below), whose sum is σ = 546134400. Its totient is φ = 388656000.

The previous prime is 464006251. The next prime is 464006269. The reversal of 464006257 is 752600464.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-464006257 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (464006251) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 83244 + ... + 88642.

It is an arithmetic number, because the mean of its divisors is an integer number (34133400).

Almost surely, 2464006257 is an apocalyptic number.

It is an amenable number.

464006257 is a deficient number, since it is larger than the sum of its proper divisors (82128143).

464006257 is a wasteful number, since it uses less digits than its factorization.

464006257 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6024.

The product of its (nonzero) digits is 40320, while the sum is 34.

The square root of 464006257 is about 21540.8044650148. The cubic root of 464006257 is about 774.1788080058.

The spelling of 464006257 in words is "four hundred sixty-four million, six thousand, two hundred fifty-seven".

Divisors: 1 11 13 143 601 5399 6611 7813 59389 70187 85943 772057 3244799 35692789 42182387 464006257