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612675648 = 263213174813
BaseRepresentation
bin100100100001001…
…011000001000000
31120200212010222200
4210201023001000
52223321110043
6140443433200
721116441244
oct4441130100
91520763880
10612675648
11294926312
12151225800
1399c16290
145b526424
1538bc37d3
hex2484b040

612675648 has 168 divisors, whose sum is σ = 2002874328. Its totient is φ = 177389568.

The previous prime is 612675619. The next prime is 612675649. The reversal of 612675648 is 846576216.

612675648 is a `hidden beast` number, since 61 + 26 + 7 + 564 + 8 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 128323584 + 484352064 = 11328^2 + 22008^2 .

It is not an unprimeable number, because it can be changed into a prime (612675649) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 124890 + ... + 129702.

It is an arithmetic number, because the mean of its divisors is an integer number (11921871).

Almost surely, 2612675648 is an apocalyptic number.

612675648 is a gapful number since it is divisible by the number (68) 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 612675648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1001437164).

612675648 is an abundant number, since it is smaller than the sum of its proper divisors (1390198680).

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

612675648 is a wasteful number, since it uses less digits than its factorization.

612675648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4861 (or 4848 counting only the distinct ones).

The product of its digits is 483840, while the sum is 45.

The square root of 612675648 is about 24752.2857126367. The cubic root of 612675648 is about 849.3307987693.

The spelling of 612675648 in words is "six hundred twelve million, six hundred seventy-five thousand, six hundred forty-eight".