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455345568 = 25321581061
BaseRepresentation
bin11011001001000…
…000010110100000
31011201210221200200
4123021000112200
51413032024233
6113103345200
714166242046
oct3311002640
91151727620
10455345568
11214037957
121085b2200
137344bb62
1444690396
1529e97313
hex1b2405a0

455345568 has 36 divisors (see below), whose sum is σ = 1294889778. Its totient is φ = 151781760.

The previous prime is 455345567. The next prime is 455345573. The reversal of 455345568 is 865543554.

455345568 is a `hidden beast` number, since 4 + 5 + 534 + 55 + 68 = 666.

It can be written as a sum of positive squares in only one way, i.e., 450627984 + 4717584 = 21228^2 + 2172^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is not an unprimeable number, because it can be changed into a prime (455345563) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 790243 + ... + 790818.

Almost surely, 2455345568 is an apocalyptic number.

455345568 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

455345568 is an abundant number, since it is smaller than the sum of its proper divisors (839544210).

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

455345568 is a wasteful number, since it uses less digits than its factorization.

455345568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1581077 (or 1581066 counting only the distinct ones).

The product of its digits is 1440000, while the sum is 45.

The square root of 455345568 is about 21338.8277091315. The cubic root of 455345568 is about 769.3318361810.

The spelling of 455345568 in words is "four hundred fifty-five million, three hundred forty-five thousand, five hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 1581061 3162122 4743183 6324244 9486366 12648488 14229549 18972732 25296976 28459098 37945464 50593952 56918196 75890928 113836392 151781856 227672784 455345568