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612063872 = 27719157229
BaseRepresentation
bin100100011110110…
…101101010000000
31120122201001210022
4210132311222000
52223142020442
6140422353012
721111312530
oct4436655200
91518631708
10612063872
11294548712
12150b8b768
1399a60994
145b4074c0
1538b023d2
hex247b5a80

612063872 has 128 divisors (see below), whose sum is σ = 1482672000. Its totient is φ = 245846016.

The previous prime is 612063871. The next prime is 612063877. The reversal of 612063872 is 278360216.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a taxicab number since it can be written as a sum of two cubes in more than one way. Here 612063872 = 473 + 8493 = 4523 + 8043.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (612063871) 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 15 ways as a sum of consecutive naturals, for example, 2672654 + ... + 2672882.

It is an arithmetic number, because the mean of its divisors is an integer number (11583375).

Almost surely, 2612063872 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 612063872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (741336000).

612063872 is an abundant number, since it is smaller than the sum of its proper divisors (870608128).

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

612063872 is a wasteful number, since it uses less digits than its factorization.

612063872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 426 (or 414 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 35.

The square root of 612063872 is about 24739.9246563121. The cubic root of 612063872 is about 849.0480100745.

It can be divided in two parts, 61206 and 3872, that multiplied together give a palindrome (236989632).

The spelling of 612063872 in words is "six hundred twelve million, sixty-three thousand, eight hundred seventy-two".

Divisors: 1 2 4 7 8 14 16 19 28 32 38 56 64 76 112 128 133 152 157 224 229 266 304 314 448 458 532 608 628 896 916 1064 1099 1216 1256 1603 1832 2128 2198 2432 2512 2983 3206 3664 4256 4351 4396 5024 5966 6412 7328 8512 8702 8792 10048 11932 12824 14656 17024 17404 17584 20096 20881 23864 25648 29312 30457 34808 35168 35953 41762 47728 51296 60914 69616 70336 71906 83524 95456 102592 121828 139232 140672 143812 167048 190912 205184 243656 251671 278464 287624 334096 381824 487312 503342 556928 575248 668192 683107 974624 1006684 1150496 1336384 1366214 1949248 2013368 2300992 2672768 2732428 3898496 4026736 4601984 4781749 5464856 8053472 9563498 10929712 16106944 19126996 21859424 32213888 38253992 43718848 76507984 87437696 153015968 306031936 612063872