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545512968 = 233471113292
BaseRepresentation
bin100000100000111…
…101111000001000
31102000110221010000
4200200331320020
52104122403333
6130044123000
716342532550
oct4040757010
91360427100
10545512968
1125aa22a70
12132836460
138902c050
1452642160
1532d58713
hex2083de08

545512968 has 480 divisors, whose sum is σ = 2124682560. Its totient is φ = 126282240.

The previous prime is 545512963. The next prime is 545512987. The reversal of 545512968 is 869215545.

545512968 is a `hidden beast` number, since 5 + 4 + 551 + 2 + 96 + 8 = 666.

It is not an unprimeable number, because it can be changed into a prime (545512963) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 18810778 + ... + 18810806.

It is an arithmetic number, because the mean of its divisors is an integer number (4426422).

Almost surely, 2545512968 is an apocalyptic number.

545512968 is a gapful number since it is divisible by the number (58) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 545512968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1062341280).

545512968 is an abundant number, since it is smaller than the sum of its proper divisors (1579169592).

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

545512968 is a wasteful number, since it uses less digits than its factorization.

545512968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107 (or 65 counting only the distinct ones).

The product of its digits is 432000, while the sum is 45.

The square root of 545512968 is about 23356.2190433298. The cubic root of 545512968 is about 817.0871107491.

The spelling of 545512968 in words is "five hundred forty-five million, five hundred twelve thousand, nine hundred sixty-eight".