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456416068 = 221713215081
BaseRepresentation
bin11011001101000…
…101101101000100
31011210211100010211
4123031011231010
51413320303233
6113142325204
714211321043
oct3315055504
91153740124
10456416068
112146a9169
12108a29804
13737351a4
144488c55a
152a1095cd
hex1b345b44

456416068 has 24 divisors (see below), whose sum is σ = 846518904. Its totient is φ = 214579200.

The previous prime is 456416041. The next prime is 456416099. The reversal of 456416068 is 860614654.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 142134084 + 314281984 = 11922^2 + 17728^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 456416068.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 87288 + ... + 92368.

It is an arithmetic number, because the mean of its divisors is an integer number (35271621).

Almost surely, 2456416068 is an apocalyptic number.

It is an amenable number.

456416068 is a deficient number, since it is larger than the sum of its proper divisors (390102836).

456416068 is a wasteful number, since it uses less digits than its factorization.

456416068 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6423 (or 6421 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 40.

The square root of 456416068 is about 21363.8963674701. The cubic root of 456416068 is about 769.9342542392.

The spelling of 456416068 in words is "four hundred fifty-six million, four hundred sixteen thousand, sixty-eight".

Divisors: 1 2 4 17 34 68 1321 2642 5081 5284 10162 20324 22457 44914 86377 89828 172754 345508 6712001 13424002 26848004 114104017 228208034 456416068