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416065465 = 5298813257
BaseRepresentation
bin11000110011001…
…010011110111001
31001222220022112001
4120303022132321
51323003043330
6105141421001
713211332564
oct3063123671
91058808461
10416065465
111a3949162
12b740a761
1368277baa
143d3874db
15267d89ca
hex18cca7b9

416065465 has 16 divisors (see below), whose sum is σ = 517240080. Its totient is φ = 320911360.

The previous prime is 416065457. The next prime is 416065483. The reversal of 416065465 is 564560614.

It can be written as a sum of positive squares in 8 ways, for example, as 558009 + 415507456 = 747^2 + 20384^2 .

It is not a de Polignac number, because 416065465 - 23 = 416065457 is a prime.

It is a super-2 number, since 2×4160654652 = 346220942331332450, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 126117 + ... + 129373.

It is an arithmetic number, because the mean of its divisors is an integer number (32327505).

Almost surely, 2416065465 is an apocalyptic number.

It is an amenable number.

416065465 is a deficient number, since it is larger than the sum of its proper divisors (101174615).

416065465 is a wasteful number, since it uses less digits than its factorization.

416065465 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4172.

The product of its (nonzero) digits is 86400, while the sum is 37.

The square root of 416065465 is about 20397.6828340868. The cubic root of 416065465 is about 746.5413877779.

The spelling of 416065465 in words is "four hundred sixteen million, sixty-five thousand, four hundred sixty-five".

Divisors: 1 5 29 145 881 3257 4405 16285 25549 94453 127745 472265 2869417 14347085 83213093 416065465