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742312512 = 263559809
BaseRepresentation
bin101100001111101…
…100101001000000
31220201210101100000
4230033230221000
53010013000022
6201354200000
724252360264
oct5417545100
91821711300
10742312512
1135101a417
12188723000
13baa35696
14708300a4
154527e6ac
hex2c3eca40

742312512 has 168 divisors, whose sum is σ = 2246680800. Its totient is φ = 242942976.

The previous prime is 742312489. The next prime is 742312513. The reversal of 742312512 is 215213247.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (742312513) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 917164 + ... + 917972.

It is an arithmetic number, because the mean of its divisors is an integer number (13373100).

Almost surely, 2742312512 is an apocalyptic number.

742312512 is a gapful number since it is divisible by the number (72) 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 742312512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1123340400).

742312512 is an abundant number, since it is smaller than the sum of its proper divisors (1504368288).

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

742312512 is an equidigital number, since it uses as much as digits as its factorization.

742312512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 895 (or 873 counting only the distinct ones).

The product of its digits is 3360, while the sum is 27.

The square root of 742312512 is about 27245.4126781005. The cubic root of 742312512 is about 905.4453866240.

Adding to 742312512 its reverse (215213247), we get a palindrome (957525759).

The spelling of 742312512 in words is "seven hundred forty-two million, three hundred twelve thousand, five hundred twelve".